Order = 65784756654489600 = 214.316.52.7.13.41.
Mult = 2.
Out = 2.
Porting notes
Porting complete except for notes on v1/v2 standard generators.Standard generators
Standard generators of O9(3) are a, b where a is in class 2A, b is in class 9N/O, ab has order 41 and ababb has order 39.
Standard generators of 2.O9(3) are preimages A, B where B has order 9 and AB has order 41.
Standard generators of O9(3):2 are c, d where c is in class 2E, d is in class 9NO, cd has order 84 and cdcdd has order 12.
Standard generators of 2.O9(3):2 are preimages C, D where D has order 9.
Representations
Representations of O9(3)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 9 Std Details
Representations of 2.O9(3)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 16 Std Details
Representations of O9(3):2
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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 9 Std Details
Representations of 2.O9(3):2
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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 16 Std Details