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Properties

Label 5.8-2.0.2-2-2-4-4
Genus \(5\)
Quotient genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 2, 4, 4 ]\)

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Family Information

Genus: $5$
Dimension of the family: $2$

Cover

Quotient genus: $0$
Number of branch points: $5$
Signature: $[ 0; 2, 2, 2, 4, 4 ]$

Group

Name: $C_2\times C_4$
Identifier:$[8,2]$

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
5.8-2.0.2-2-2-4-4.1 2, 2, 3, 5, 8
5.8-2.0.2-2-2-4-4.2 2, 2, 3, 6, 7
5.8-2.0.2-2-2-4-4.3 2, 2, 4, 5, 7
5.8-2.0.2-2-2-4-4.4 2, 2, 4, 6, 8
5.8-2.0.2-2-2-4-4.5 2, 3, 3, 5, 5
5.8-2.0.2-2-2-4-4.6 2, 3, 3, 6, 6
5.8-2.0.2-2-2-4-4.7 2, 3, 3, 7, 7
5.8-2.0.2-2-2-4-4.8 2, 3, 3, 8, 8
5.8-2.0.2-2-2-4-4.9 2, 3, 4, 5, 6
5.8-2.0.2-2-2-4-4.10 2, 3, 4, 7, 8
5.8-2.0.2-2-2-4-4.11 2, 4, 4, 5, 5
5.8-2.0.2-2-2-4-4.12 2, 4, 4, 6, 6
5.8-2.0.2-2-2-4-4.13 2, 4, 4, 7, 7
5.8-2.0.2-2-2-4-4.14 2, 4, 4, 8, 8
5.8-2.0.2-2-2-4-4.15 3, 3, 3, 5, 8
5.8-2.0.2-2-2-4-4.16 3, 3, 3, 6, 7
5.8-2.0.2-2-2-4-4.17 3, 3, 4, 5, 7
5.8-2.0.2-2-2-4-4.18 3, 3, 4, 6, 8
5.8-2.0.2-2-2-4-4.19 3, 4, 4, 5, 8
5.8-2.0.2-2-2-4-4.20 3, 4, 4, 6, 7
5.8-2.0.2-2-2-4-4.21 4, 4, 4, 5, 7
5.8-2.0.2-2-2-4-4.22 4, 4, 4, 6, 8

Displaying representatives for 5 topologically inequivalent actions.

5.8-2.0.2-2-2-4-4.1.1
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5,2,6) (3,7,4,8)
  (1,8,2,7) (3,6,4,5)

5.8-2.0.2-2-2-4-4.5.1
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5,2,6) (3,7,4,8)
  (1,5,2,6) (3,7,4,8)

5.8-2.0.2-2-2-4-4.9.1
  (1,2) (3,4) (5,6) (7,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,4) (2,3) (5,8) (6,7)
  (1,5,2,6) (3,7,4,8)
  (1,6,2,5) (3,8,4,7)

5.8-2.0.2-2-2-4-4.15.1
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5,2,6) (3,7,4,8)
  (1,8,2,7) (3,6,4,5)

5.8-2.0.2-2-2-4-4.17.1
  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,4) (2,3) (5,8) (6,7)
  (1,5,2,6) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)