ATLAS: Exceptional group E₆(4)

Order = 28509570260447546701277873018380921822248960000 = 2¹⁰².83.
Mult = 3.
Out = S₃ × 2.

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Porting notes

Porting incomplete.

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Standard generators

Non-standard generators of E₆(4) are a, b.

Non-standard generators of 3.E₆(4) are A, B.

Non-standard generators of 3.E₆(4).2_g are C, D.

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Representations

Representations of E₆(4)

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• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  2	GF(4)	78		Non-std		Details

Representations of 3.E₆(4)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  2	GF(4)	27		Non-std		Details

Representations of 3.E₆(4).2_g

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  2	GF(4)	54		Non-std		Details

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E₆(4)
3.E₆(4)
3.E₆(4).2_g