ATLAS: Linear group L₂(151)

Order = 1721400 = 2³.3.5².19.151.
Mult = 2.
Out = 2.

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Porting notes

Porting incomplete.

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Standard generators

Standard generators of L₂(151) are a, b where a has order 2, b has order 3 and ab has order 151.

Standard generators of 2.L₂(151) are preimages A, B where B has order 3 and AB has order 151.

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Representations

Representations of L₂(151)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  152		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	151		Std		Details
  0	Z[z75]	152	a	Std		Details

Representations of 2.L₂(151)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z150]	152	a	Std		Details

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Maximal subgroups

Maximal subgroups of L₂(151)

Subgroup	Order	Index	Programs/reps
151:75			Program: Generators
D152			Program: Generators
D150			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(151)
2.L₂(151)
L₂(151):2
2.L₂(151):2