ATLAS: Linear group L₂(199)

Order = 3940200 = 2³.3².5².11.199.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(199) are a, b where a has order 2, b has order 3 and ab has order 199.

Standard generators of 2.L₂(199) are preimages A, B where B has order 3 and AB has order 199.

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Representations

Representations of L₂(199)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  200		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	199		Std		Details
  0	Z[z99]	200	a	Std		Details

Representations of 2.L₂(199)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z198]	200	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(199)

Subgroup	Order	Index	Programs/reps
199:99			Program: Generators
D200			Program: Generators
D198			Program: Generators
A5			Program: Generators
A5			Program: Generators
S4			Program: Generators
S4			Program: Generators

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Standard generators
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L₂(199)
2.L₂(199)
L₂(199):2
2.L₂(199):2