Properties

Genus \(2\)
Small Group \(Q_8\)
Signature \([ 0; 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 2
Group name: $Q_8$
Group identifier: [8,4]
Signature: $[ 0; 4, 4, 4 ]$
Conjugacy classes for this refined passport: 3, 4, 5

The full automorphism group for this family is $GL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$A_{2}$
Corresponding character(s): 5

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.8-4.0.4-4-4.1.1

  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)