ATLAS: Exceptional group E₈(5)

Order = 212241934165081789939135106539938909320143178249948373703932419194549992287718687106371625640393677463164945340423628294956870377063751220703125000000000000000000000000000000 = 2³⁰.3¹³.5¹²⁰.7⁴.11².13⁴.19.29.314.41.61.71².181.313².449.521².601².829.1741.5167.7621.9161.19531.390001.
Mult = 1.
Out = 1.

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Porting notes

Porting incomplete.

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Standard generators

Non-standard generators of E₈(5) are a, b where a has order 4, b has order 78124, ab has order 108507, abb has order 484220 and so on.

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Representations

Representations of E₈(5)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  5	GF(5)	248		Non-std		Details

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E₈(5)