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, 7, 8

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.

8.24-1.0.6-8-8.1.1

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