Properties

Genus \(8\)
Small Group \(C_3:C_8\)
Signature \([ 0; 6, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_3:C_8$
Group identifier: [24,1]
Signature: $[ 0; 6, 8, 8 ]$
Conjugacy classes for this refined passport: 6, 9, 10

The full automorphism group for this family is $Q_8:S_3$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}^{2}$
Corresponding character(s): 5, 9, 11

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.24-1.0.6-8-8.2.1

  (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24)
  (1,16,7,22,4,13,10,19) (2,18,8,24,5,15,11,21) (3,17,9,23,6,14,12,20)
  (1,24,10,18,4,21,7,15) (2,23,11,17,5,20,8,14) (3,22,12,16,6,19,9,13)