Point Group Oh
Ternary direct products
A1g⊙
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A1g |
A2g |
Eg |
T1g |
T2g |
A1u |
A2u |
Eu |
T1u |
T2u |
A1g |
A1g |
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A2g |
A2g |
A1g |
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Eg |
Eg |
Eg |
A1g⊕A2g⊕Eg |
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T1g |
T1g |
T2g |
T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
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T2g |
T2g |
T1g |
T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
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A1u |
A1u |
A2u |
Eu |
T1u |
T2u |
A1g |
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A2u |
A2u |
A1u |
Eu |
T2u |
T1u |
A2g |
A1g |
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Eu |
Eu |
Eu |
A1u⊕A2u⊕Eu |
T1u⊕T2u |
T1u⊕T2u |
Eg |
Eg |
A1g⊕A2g⊕Eg |
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T1u |
T1u |
T2u |
T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
T1g |
T2g |
T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
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T2u |
T2u |
T1u |
T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
T2g |
T1g |
T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
A2g⊙
⊙ |
A2g |
Eg |
T1g |
T2g |
A1u |
A2u |
Eu |
T1u |
T2u |
A2g |
A2g |
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Eg |
Eg |
A1g⊕A2g⊕Eg |
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T1g |
T1g |
T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
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T2g |
T2g |
T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
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A1u |
A1u |
Eu |
T2u |
T1u |
A2g |
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A2u |
A2u |
Eu |
T1u |
T2u |
A1g |
A2g |
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Eu |
Eu |
A1u⊕A2u⊕Eu |
T1u⊕T2u |
T1u⊕T2u |
Eg |
Eg |
A1g⊕A2g⊕Eg |
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T1u |
T1u |
T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
T2g |
T1g |
T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
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T2u |
T2u |
T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
T1g |
T2g |
T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
Eg⊙
⊙ |
Eg |
T1g |
T2g |
A1u |
A2u |
Eu |
T1u |
T2u |
Eg |
A1g⊕A2g⊕3Eg |
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T1g |
2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
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T2g |
2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
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A1u |
A1u⊕A2u⊕Eu |
T1u⊕T2u |
T1u⊕T2u |
Eg |
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A2u |
A1u⊕A2u⊕Eu |
T1u⊕T2u |
T1u⊕T2u |
Eg |
Eg |
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Eu |
A1u⊕A2u⊕3Eu |
2T1u⊕2T2u |
2T1u⊕2T2u |
A1g⊕A2g⊕Eg |
A1g⊕A2g⊕Eg |
A1g⊕A2g⊕3Eg |
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T1u |
2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
T1g⊕T2g |
T1g⊕T2g |
2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
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T2u |
2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
T1g⊕T2g |
T1g⊕T2g |
2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
T1g⊙
⊙ |
T1g |
T2g |
A1u |
A2u |
Eu |
T1u |
T2u |
T1g |
A1g⊕A2g⊕2Eg⊕4T1g⊕3T2g |
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T2g |
A1g⊕A2g⊕2Eg⊕3T1g⊕4T2g |
A1g⊕A2g⊕2Eg⊕4T1g⊕3T2g |
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A1u |
A1u⊕Eu⊕T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
T1g |
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A2u |
A2u⊕Eu⊕T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
T2g |
T1g |
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Eu |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
T1g⊕T2g |
T1g⊕T2g |
2T1g⊕2T2g |
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T1u |
A1u⊕A2u⊕2Eu⊕4T1u⊕3T2u |
A1u⊕A2u⊕2Eu⊕3T1u⊕4T2u |
A1g⊕Eg⊕T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕4T1g⊕3T2g |
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T2u |
A1u⊕A2u⊕2Eu⊕3T1u⊕4T2u |
A1u⊕A2u⊕2Eu⊕4T1u⊕3T2u |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕3T1g⊕4T2g |
A1g⊕A2g⊕2Eg⊕4T1g⊕3T2g |
T2g⊙
⊙ |
T2g |
A1u |
A2u |
Eu |
T1u |
T2u |
T2g |
A1g⊕A2g⊕2Eg⊕3T1g⊕4T2g |
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A1u |
A1u⊕Eu⊕T1u⊕T2u |
T2g |
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A2u |
A2u⊕Eu⊕T1u⊕T2u |
T1g |
T2g |
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Eu |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
T1g⊕T2g |
T1g⊕T2g |
2T1g⊕2T2g |
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T1u |
A1u⊕A2u⊕2Eu⊕4T1u⊕3T2u |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕Eg⊕T1g⊕T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕3T1g⊕4T2g |
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T2u |
A1u⊕A2u⊕2Eu⊕3T1u⊕4T2u |
A1g⊕Eg⊕T1g⊕T2g |
A2g⊕Eg⊕T1g⊕T2g |
A1g⊕A2g⊕2Eg⊕2T1g⊕2T2g |
A1g⊕A2g⊕2Eg⊕4T1g⊕3T2g |
A1g⊕A2g⊕2Eg⊕3T1g⊕4T2g |
A1u⊙
⊙ |
A1u |
A2u |
Eu |
T1u |
T2u |
A1u |
A1u |
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A2u |
A2u |
A1u |
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Eu |
Eu |
Eu |
A1u⊕A2u⊕Eu |
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T1u |
T1u |
T2u |
T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
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T2u |
T2u |
T1u |
T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
A2u⊙
⊙ |
A2u |
Eu |
T1u |
T2u |
A2u |
A2u |
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Eu |
Eu |
A1u⊕A2u⊕Eu |
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T1u |
T1u |
T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
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T2u |
T2u |
T1u⊕T2u |
A1u⊕Eu⊕T1u⊕T2u |
A2u⊕Eu⊕T1u⊕T2u |
Eu⊙
⊙ |
Eu |
T1u |
T2u |
Eu |
A1u⊕A2u⊕3Eu |
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T1u |
2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
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T2u |
2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
A1u⊕A2u⊕2Eu⊕2T1u⊕2T2u |
T1u⊙
⊙ |
T1u |
T2u |
T1u |
A1u⊕A2u⊕2Eu⊕4T1u⊕3T2u |
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T2u |
A1u⊕A2u⊕2Eu⊕3T1u⊕4T2u |
A1u⊕A2u⊕2Eu⊕4T1u⊕3T2u |
T2u⊙
⊙ |
T2u |
T2u |
A1u⊕A2u⊕2Eu⊕3T1u⊕4T2u |