Point Group D6h
Quaternary direct products
A1g⊙A1g⊙
⊙ |
A1g |
A2g |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1g |
A1g |
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A2g |
A2g |
A1g |
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B1g |
B1g |
B2g |
A1g |
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B2g |
B2g |
B1g |
A2g |
A1g |
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E1g |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
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E2g |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
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A1u |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1g |
|
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A2u |
A2u |
A1u |
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
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|
|
B1u |
B1u |
B2u |
A1u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
|
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|
B2u |
B2u |
B1u |
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
A1g |
|
|
E1u |
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊙A2g⊙
⊙ |
A2g |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A2g |
A2g |
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B1g |
B1g |
A2g |
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B2g |
B2g |
A1g |
A2g |
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E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
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|
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
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A1u |
A1u |
B2u |
B1u |
E1u |
E2u |
A2g |
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A2u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1g |
A2g |
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B1u |
B1u |
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
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B2u |
B2u |
A1u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
A2g |
|
|
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊙B1g⊙
⊙ |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B1g |
B1g |
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B2g |
B2g |
B1g |
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E1g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
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E2g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
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A1u |
A1u |
A2u |
E2u |
E1u |
B1g |
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A2u |
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
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B1u |
B1u |
B2u |
E1u |
E2u |
A1g |
A2g |
B1g |
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|
B2u |
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
B2g |
B1g |
|
|
E1u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A1g⊙B2g⊙
⊙ |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B2g |
B2g |
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E1g |
E1g |
B1g⊕B2g⊕E1g |
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E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
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A1u |
A1u |
E2u |
E1u |
B2g |
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A2u |
A2u |
E2u |
E1u |
B1g |
B2g |
|
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|
|
B1u |
B1u |
E1u |
E2u |
A2g |
A1g |
B2g |
|
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|
B2u |
B2u |
E1u |
E2u |
A1g |
A2g |
B1g |
B2g |
|
|
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A1g⊙E1g⊙
⊙ |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E1g |
B1g⊕B2g⊕3E1g |
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E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
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A1u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
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A2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
|
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|
|
B1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
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|
|
B2u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
|
|
E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
|
E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
A1g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
A1g⊕A2g⊕3E2g |
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A1u |
A1u⊕A2u⊕E2u |
E2g |
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A2u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
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B1u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
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B2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
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|
E1u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
|
E2u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
A1g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
A1u |
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A2u |
A2u |
A1u |
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B1u |
B1u |
B2u |
A1u |
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B2u |
B2u |
B1u |
A2u |
A1u |
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E1u |
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
A2u |
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B1u |
B1u |
A2u |
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B2u |
B2u |
A1u |
A2u |
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E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
B1u |
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|
B2u |
B2u |
B1u |
|
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E1u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
A1g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
B2u |
|
|
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
A1g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
A1g⊙E2u⊙
⊙ |
E2u |
E2u |
A1u⊕A2u⊕3E2u |
A2g⊙A2g⊙
⊙ |
A2g |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A2g |
A1g |
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B1g |
B2g |
A1g |
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B2g |
B1g |
A2g |
A1g |
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E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
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E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
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A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1g |
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A2u |
A1u |
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
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B1u |
B2u |
A1u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
|
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|
B2u |
B1u |
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
A1g |
|
|
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A2g⊙B1g⊙
⊙ |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B1g |
B2g |
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B2g |
B1g |
B2g |
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E1g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
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E2g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
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A1u |
A2u |
A1u |
E2u |
E1u |
B2g |
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A2u |
A1u |
A2u |
E2u |
E1u |
B1g |
B2g |
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|
B1u |
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
B2g |
|
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|
B2u |
B1u |
B2u |
E1u |
E2u |
A1g |
A2g |
B1g |
B2g |
|
|
E1u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A2g⊙B2g⊙
⊙ |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B2g |
B1g |
|
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E1g |
E1g |
B1g⊕B2g⊕E1g |
|
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E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
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|
A1u |
A2u |
E2u |
E1u |
B1g |
|
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|
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
|
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|
B1u |
B2u |
E1u |
E2u |
A1g |
A2g |
B1g |
|
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|
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
B2g |
B1g |
|
|
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A2g⊙E1g⊙
⊙ |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E1g |
B1g⊕B2g⊕3E1g |
|
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|
E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
|
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|
A1u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
|
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|
|
|
A2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
|
|
|
|
B1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
|
|
|
B2u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
|
|
E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
|
E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
A2g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
A1g⊕A2g⊕3E2g |
|
|
|
|
|
|
A1u |
A1u⊕A2u⊕E2u |
E2g |
|
|
|
|
|
A2u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
|
|
|
|
B1u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
|
|
|
B2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
|
|
E1u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
|
E2u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
A2g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
A2u |
|
|
|
|
|
A2u |
A1u |
A2u |
|
|
|
|
B1u |
B2u |
B1u |
A2u |
|
|
|
B2u |
B1u |
B2u |
A1u |
A2u |
|
|
E1u |
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A2g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
A1u |
|
|
|
|
B1u |
B2u |
A1u |
|
|
|
B2u |
B1u |
A2u |
A1u |
|
|
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A2g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
B2u |
|
|
|
B2u |
B1u |
B2u |
|
|
E1u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
A2g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
B1u |
|
|
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
A2g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
A2g⊙E2u⊙
⊙ |
E2u |
E2u |
A1u⊕A2u⊕3E2u |
B1g⊙B1g⊙
⊙ |
B1g |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B1g |
A1g |
|
|
|
|
|
|
|
|
|
B2g |
A2g |
A1g |
|
|
|
|
|
|
|
|
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
A1u |
B1u |
B2u |
E1u |
E2u |
A1g |
|
|
|
|
|
A2u |
B2u |
B1u |
E1u |
E2u |
A2g |
A1g |
|
|
|
|
B1u |
A1u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
|
|
|
B2u |
A2u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
A1g |
|
|
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B1g⊙B2g⊙
⊙ |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B2g |
A2g |
|
|
|
|
|
|
|
|
E1g |
E2g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
A1u |
B1u |
E1u |
E2u |
A2g |
|
|
|
|
|
A2u |
B2u |
E1u |
E2u |
A1g |
A2g |
|
|
|
|
B1u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
|
|
|
B2u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
A2g |
|
|
E1u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B1g⊙E1g⊙
⊙ |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E1g |
A1g⊕A2g⊕3E2g |
|
|
|
|
|
|
|
E2g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
|
|
|
|
B1u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
|
|
|
B2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
|
|
E1u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
|
E2u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
B1g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
B1g⊕B2g⊕3E1g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕E1u |
E1g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
|
|
|
|
B1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
|
|
|
B2u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
|
|
E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
|
E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
B1g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
B1u |
|
|
|
|
|
A2u |
B2u |
B1u |
|
|
|
|
B1u |
A1u |
A2u |
B1u |
|
|
|
B2u |
A2u |
A1u |
B2u |
B1u |
|
|
E1u |
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
B2u |
|
|
|
|
B1u |
A1u |
B2u |
|
|
|
B2u |
A2u |
B1u |
B2u |
|
|
E1u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
A1u |
|
|
|
B2u |
A2u |
A1u |
|
|
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
B1g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
A2u |
|
|
E1u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
B1g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
A1u⊕A2u⊕3E2u |
|
E2u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
B1g⊙E2u⊙
⊙ |
E2u |
E2u |
B1u⊕B2u⊕3E1u |
B2g⊙B2g⊙
⊙ |
B2g |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
B2g |
A1g |
|
|
|
|
|
|
|
|
E1g |
E2g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
|
E2g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
|
|
|
|
|
|
A1u |
B2u |
E1u |
E2u |
A1g |
|
|
|
|
|
A2u |
B1u |
E1u |
E2u |
A2g |
A1g |
|
|
|
|
B1u |
A2u |
E2u |
E1u |
B1g |
B2g |
A1g |
|
|
|
B2u |
A1u |
E2u |
E1u |
B2g |
B1g |
A2g |
A1g |
|
|
E1u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B2g⊙E1g⊙
⊙ |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E1g |
A1g⊕A2g⊕3E2g |
|
|
|
|
|
|
|
E2g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
|
|
|
|
B1u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
|
|
|
B2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
E2g |
E2g |
|
|
E1u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
|
E2u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
B2g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
B1g⊕B2g⊕3E1g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕E1u |
E1g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕E1u |
E1g |
E1g |
|
|
|
|
B1u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
|
|
|
B2u |
A1u⊕A2u⊕E2u |
E2g |
E2g |
E1g |
E1g |
|
|
E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕3E1g |
|
E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
B2g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
B2u |
|
|
|
|
|
A2u |
B1u |
B2u |
|
|
|
|
B1u |
A2u |
A1u |
B2u |
|
|
|
B2u |
A1u |
A2u |
B1u |
B2u |
|
|
E1u |
E2u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E1u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B2g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
B1u |
|
|
|
|
B1u |
A2u |
B1u |
|
|
|
B2u |
A1u |
B2u |
B1u |
|
|
E1u |
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
|
E2u |
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B2g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
A2u |
|
|
|
B2u |
A1u |
A2u |
|
|
E1u |
E2u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E1u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
B2g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
A1u |
|
|
E1u |
E2u |
A1u⊕A2u⊕E2u |
|
E2u |
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
B2g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
A1u⊕A2u⊕3E2u |
|
E2u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
B2g⊙E2u⊙
⊙ |
E2u |
E2u |
B1u⊕B2u⊕3E1u |
E1g⊙E1g⊙
⊙ |
E1g |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E1g |
3A1g⊕3A2g⊕5E2g |
|
|
|
|
|
|
|
E2g |
3B1g⊕3B2g⊕5E1g |
3A1g⊕3A2g⊕5E2g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
|
|
|
|
B1u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
|
|
|
B2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
|
|
E1u |
3A1u⊕3A2u⊕5E2u |
3B1u⊕3B2u⊕5E1u |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
3A1g⊕3A2g⊕5E2g |
|
E2u |
3B1u⊕3B2u⊕5E1u |
3A1u⊕3A2u⊕5E2u |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
3B1g⊕3B2g⊕5E1g |
3A1g⊕3A2g⊕5E2g |
E1g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
3B1g⊕3B2g⊕5E1g |
|
|
|
|
|
|
A1u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
|
|
|
|
|
A2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
|
|
|
|
B1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
|
|
|
B2u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
|
|
E1u |
3A1u⊕3A2u⊕5E2u |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
3B1g⊕3B2g⊕5E1g |
|
E2u |
3B1u⊕3B2u⊕5E1u |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
3A1g⊕3A2g⊕5E2g |
3B1g⊕3B2g⊕5E1g |
E1g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
E1u |
|
|
|
|
|
A2u |
E1u |
E1u |
|
|
|
|
B1u |
E2u |
E2u |
E1u |
|
|
|
B2u |
E2u |
E2u |
E1u |
E1u |
|
|
E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
E1g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
E1u |
|
|
|
|
B1u |
E2u |
E1u |
|
|
|
B2u |
E2u |
E1u |
E1u |
|
|
E1u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
E1g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
E2u |
|
|
|
B2u |
E2u |
E2u |
|
|
E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
|
E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
E1g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
E2u |
|
|
E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
|
E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
E1g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
3A1u⊕3A2u⊕5E2u |
|
E2u |
3B1u⊕3B2u⊕5E1u |
3A1u⊕3A2u⊕5E2u |
E1g⊙E2u⊙
⊙ |
E2u |
E2u |
3B1u⊕3B2u⊕5E1u |
E2g⊙E2g⊙
⊙ |
E2g |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
E2g |
3A1g⊕3A2g⊕5E2g |
|
|
|
|
|
|
A1u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
|
|
|
|
|
A2u |
A1u⊕A2u⊕3E2u |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
|
|
|
|
B1u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
|
|
|
B2u |
B1u⊕B2u⊕3E1u |
B1g⊕B2g⊕E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1g⊕A2g⊕E2g |
|
|
E1u |
3B1u⊕3B2u⊕5E1u |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
3A1g⊕3A2g⊕5E2g |
|
E2u |
3A1u⊕3A2u⊕5E2u |
A1g⊕A2g⊕3E2g |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
B1g⊕B2g⊕3E1g |
3B1g⊕3B2g⊕5E1g |
3A1g⊕3A2g⊕5E2g |
E2g⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
E2u |
|
|
|
|
|
A2u |
E2u |
E2u |
|
|
|
|
B1u |
E1u |
E1u |
E2u |
|
|
|
B2u |
E1u |
E1u |
E2u |
E2u |
|
|
E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
|
E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
E2g⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
E2u |
|
|
|
|
B1u |
E1u |
E2u |
|
|
|
B2u |
E1u |
E2u |
E2u |
|
|
E1u |
B1u⊕B2u⊕E1u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
|
E2u |
A1u⊕A2u⊕E2u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
A1u⊕A2u⊕3E2u |
E2g⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
E1u |
|
|
|
B2u |
E1u |
E1u |
|
|
E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
E2g⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
E1u |
|
|
E1u |
B1u⊕B2u⊕E1u |
B1u⊕B2u⊕3E1u |
|
E2u |
A1u⊕A2u⊕E2u |
A1u⊕A2u⊕3E2u |
B1u⊕B2u⊕3E1u |
E2g⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
3B1u⊕3B2u⊕5E1u |
|
E2u |
3A1u⊕3A2u⊕5E2u |
3B1u⊕3B2u⊕5E1u |
E2g⊙E2u⊙
⊙ |
E2u |
E2u |
3A1u⊕3A2u⊕5E2u |
A1u⊙A1u⊙
⊙ |
A1u |
A2u |
B1u |
B2u |
E1u |
E2u |
A1u |
A1g |
|
|
|
|
|
A2u |
A2g |
A1g |
|
|
|
|
B1u |
B1g |
B2g |
A1g |
|
|
|
B2u |
B2g |
B1g |
A2g |
A1g |
|
|
E1u |
E1g |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2g |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1u⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
A2g |
|
|
|
|
B1u |
B1g |
A2g |
|
|
|
B2u |
B2g |
A1g |
A2g |
|
|
E1u |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A1u⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
B1g |
|
|
|
B2u |
B2g |
B1g |
|
|
E1u |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A1u⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
B2g |
|
|
E1u |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A1u⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
B1g⊕B2g⊕3E1g |
|
E2u |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
A1u⊙E2u⊙
⊙ |
E2u |
E2u |
A1g⊕A2g⊕3E2g |
A2u⊙A2u⊙
⊙ |
A2u |
B1u |
B2u |
E1u |
E2u |
A2u |
A1g |
|
|
|
|
B1u |
B2g |
A1g |
|
|
|
B2u |
B1g |
A2g |
A1g |
|
|
E1u |
E1g |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E2g |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
A2u⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
B2g |
|
|
|
B2u |
B1g |
B2g |
|
|
E1u |
E1g |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2g |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A2u⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
B1g |
|
|
E1u |
E1g |
B1g⊕B2g⊕E1g |
|
E2u |
E2g |
A1g⊕A2g⊕E2g |
B1g⊕B2g⊕E1g |
A2u⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
B1g⊕B2g⊕3E1g |
|
E2u |
A1g⊕A2g⊕3E2g |
B1g⊕B2g⊕3E1g |
A2u⊙E2u⊙
⊙ |
E2u |
E2u |
A1g⊕A2g⊕3E2g |
B1u⊙B1u⊙
⊙ |
B1u |
B2u |
E1u |
E2u |
B1u |
A1g |
|
|
|
B2u |
A2g |
A1g |
|
|
E1u |
E2g |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1g |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B1u⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
A2g |
|
|
E1u |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B1u⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
A1g⊕A2g⊕3E2g |
|
E2u |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
B1u⊙E2u⊙
⊙ |
E2u |
E2u |
B1g⊕B2g⊕3E1g |
B2u⊙B2u⊙
⊙ |
B2u |
E1u |
E2u |
B2u |
A1g |
|
|
E1u |
E2g |
A1g⊕A2g⊕E2g |
|
E2u |
E1g |
B1g⊕B2g⊕E1g |
A1g⊕A2g⊕E2g |
B2u⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
A1g⊕A2g⊕3E2g |
|
E2u |
B1g⊕B2g⊕3E1g |
A1g⊕A2g⊕3E2g |
B2u⊙E2u⊙
⊙ |
E2u |
E2u |
B1g⊕B2g⊕3E1g |
E1u⊙E1u⊙
⊙ |
E1u |
E2u |
E1u |
3A1g⊕3A2g⊕5E2g |
|
E2u |
3B1g⊕3B2g⊕5E1g |
3A1g⊕3A2g⊕5E2g |
E1u⊙E2u⊙
⊙ |
E2u |
E2u |
3B1g⊕3B2g⊕5E1g |
E2u⊙E2u⊙
⊙ |
E2u |
E2u |
3A1g⊕3A2g⊕5E2g |