Order = 65784756654489600 = 2^{14}.3^{16}.5^{2}.7.13.41.

Mult = 2.

Out = 2.

## Porting notes

Porting complete except for notes on v1/v2 standard generators.## Standard generators

Standard generators of O_{9}(3) are *a*, *b* where *a* is in class 2A, *b* is in class 9N/O, *a**b* has order 41 and *a**b**a**b**b* has order 39.

Standard generators of 2.O_{9}(3) are preimages *A*, *B* where *B* has order 9 and *A**B* has order 41.

Standard generators of O_{9}(3):2 are *c*, *d* where *c* is in class 2E, *d* is in class 9NO, *c**d* has order 84 and *c**d**c**d**d* has order 12.

Standard generators of 2.O_{9}(3):2 are preimages *C*, *D* where *D* has order 9.

## Representations

### Representations of O_{9}(3)

- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 9 Std Details

### Representations of 2.O_{9}(3)

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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 16 Std Details

### Representations of O_{9}(3):2

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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 9 Std Details

### Representations of 2.O_{9}(3):2

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- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(3) 16 Std Details