ATLAS: Linear group L₂(79)

Order = 246480 = 2⁴.3.5.13.79.
Mult = 2.
Out = 2.

---

Porting notes

Porting incomplete.

---

Standard generators

Standard generators of L₂(79) are a, b where a has order 2, b has order 3 and ab has order 79.

Standard generators of 2.L₂(79) are preimages A, B where B has order 3 and AB has order 79.

---

Representations

Representations of L₂(79)

• View detailed report.
• Permutation representations:

  Number of points	ID	Generators	Description	Link
  80		Std		Details

• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z	79		Std		Details
  0	Z[z39]	80	a	Std		Details

Representations of 2.L₂(79)

• View detailed report.
• Matrix representations

  Char	Ring	Dimension	ID	Generators	Description	Link
  0	Z[z38]	80	a	Std		Details

---

Maximal subgroups

Maximal subgroups of L₂(79)

Subgroup	Order	Index	Programs/reps
79:39			Program: Generators
D80			Program: Generators
D78			Program: Generators
A5			Program: Generators
A5			Program: Generators
S4			Program: Generators
S4			Program: Generators

Version 3.004 / HTML 4.01 / CSS

Navigation

Up

ATLAS index page
Linear groups

Lookup

Maintenance

Version 2.0

Subpages

This page

Standard generators
Representations
Maximal subgroups

Groups

L₂(79)
2.L₂(79)
L₂(79):2
2.L₂(79):2