ATLAS: Linear group L₂(149)

Order = 1653900 = 2².3.5².37.149.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(149) are a, b where a has order 2, b has order 3 and ab has order 149.

Standard generators of 2.L₂(149) are preimages A, B where B has order 3 and AB has order 149.

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Representations

Representations of L₂(149)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  150		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	149		Std		Details
  0	Z[z74]	150	a	Std		Details

Representations of 2.L₂(149)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z148]	150	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(149)

Subgroup	Order	Index	Programs/reps
149:74			Program: Generators
D150			Program: Generators
D148			Program: Generators
A5			Program: Generators
A5			Program: Generators

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Standard generators
Representations
Maximal subgroups

Groups

L₂(149)
2.L₂(149)
L₂(149):2
2.L₂(149):2