ATLAS: Linear group L₂(241)

Order = 6998640 = 2⁴.3.5.11².241.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(241) are a, b where a has order 2, b has order 3 and ab has order 241.

Standard generators of 2.L₂(241) are preimages A, B where B has order 3 and AB has order 241.

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Representations

Representations of L₂(241)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  242		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	241		Std		Details
  0	Z[z120]	242	a	Std		Details

Representations of 2.L₂(241)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z240]	242	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(241)

Subgroup	Order	Index	Programs/reps
241:120			Program: Generators
D242			Program: Generators
D240			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(241)
2.L₂(241)
L₂(241):2
2.L₂(241):2