Order = 76532479683774853939200 = 236.39.52.72.11.13.17.19.
Mult = 22 × 3.
Out = S3.
Porting notes
Porting incomplete.Standard generators
Standard generators of 2E6(2) are a, b where a is in class 2B, b is in class 3C, ab has order 19 and abababb has order 33.
Standard generators of 2.2E6(2) are preimages A, B where B has order 3, AB has order 19 and ABABABB has order 33.
Standard generators of 3.2E6(2) are preimages A, B where A has order 2 and AB has order 19.
Standard generators of 2E6(2):2 are e, f where e is in class 2D, f is in class 8R, ef has order 19 and efeff has order 30.
Standard generators of 3.2E6(2):2 are preimages E, F where EF has order 19.
Standard generators of 2.2E6(2):2 are preimages E, F where EF has order 19.
Non-standard generators of 2E6(2):3 are c, d.
Non-standard generators of 3.2E6(2).3 are C', D'.
Non-standard generators of 2E6(2):S3 are g, h.
Non-standard generators of 3.2E6(2):S3 are G', H'.
Representations
Representations of 2E6(2)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 78 Std Details 2 GF(2) 1705 a Std Details
Representations of 2.2E6(2)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 1704 Std Details
Representations of 3.2E6(2)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(4) 27 Std Details
Representations of 2E6(2):2
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 78 Std Details 3 GF(3) 1938 Std Details
Representations of 3.2E6(2):2
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 54 Std Details
Representations of 2.2E6(2):2
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 1705 Std Details 3 GF(3) 2432 Std Details
Representations of 22.2E6(2)
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 1706 Details
Representations of 2E6(2):3
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 78 Non-std Details
Representations of 3.2E6(2).3
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(4) 27 Non-std Details
Representations of 2E6(2):S3
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 78 Non-std Details
Representations of 3.2E6(2):S3
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- Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 54 Non-std Details