ATLAS: Linear group L₂(193)

Order = 3594432 = 2⁶.3.97.193.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(193) are a, b where a has order 2, b has order 3 and ab has order 193.

Standard generators of 2.L₂(193) are preimages A, B where B has order 3 and AB has order 193.

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Representations

Representations of L₂(193)

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• Permutation representations:

  Number of points	ID	Generators	Description	Link
  194		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	193		Std		Details
  0	Z[z96]	194	a	Std		Details

Representations of 2.L₂(193)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z192]	194	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(193)

Subgroup	Order	Index	Programs/reps
193:96			Program: Generators
D194			Program: Generators
D192			Program: Generators
S4			Program: Generators
S4			Program: Generators

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Standard generators
Representations
Maximal subgroups

Groups

L₂(193)
2.L₂(193)
L₂(193):2
2.L₂(193):2