ATLAS: Linear group L₂(191)

Order = 3483840 = 2⁶.3.5.19.191.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(191) are a, b where a has order 2, b has order 3 and ab has order 191.

Standard generators of 2.L₂(191) are preimages A, B where B has order 3 and AB has order 191.

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Representations

Representations of L₂(191)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  192		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	191		Std		Details
  0	Z[z95]	192	a	Std		Details

Representations of 2.L₂(191)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z190]	192	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(191)

Subgroup	Order	Index	Programs/reps
191:95			Program: Generators
D192			Program: Generators
D190			Program: Generators
A5			Program: Generators
A5			Program: Generators
S4			Program: Generators
S4			Program: Generators

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Standard generators
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Maximal subgroups

Groups

L₂(191)
2.L₂(191)
L₂(191):2
2.L₂(191):2