Family Information
| Genus: | $3$ |
| Quotient genus: | $1$ |
| Group name: | $Q_8$ |
| Group identifier: | $[8,4]$ |
| Signature: | $[ 1; 2 ]$ |
| Conjugacy classes for this refined passport: | $2$ |
The full automorphism group for this family is $D_4:C_2$ with signature $[ 0; 2, 2, 2, 4 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}$ |
| Corresponding character(s): | $1, 5$ |
Generating vector(s)
Displaying 20 of 24 generating vectors for this refined passport.
3.8-4.1.2.1.1
| (1,5,2,6) (3,8,4,7) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.2
| (1,6,2,5) (3,7,4,8) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.3
| (1,8,2,7) (3,6,4,5) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.4
| (1,7,2,8) (3,5,4,6) | |
| (1,3,2,4) (5,7,6,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.5
| (1,3,2,4) (5,7,6,8) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.6
| (1,4,2,3) (5,8,6,7) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.7
| (1,8,2,7) (3,6,4,5) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.8
| (1,7,2,8) (3,5,4,6) | |
| (1,5,2,6) (3,8,4,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.9
| (1,5,2,6) (3,8,4,7) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.10
| (1,6,2,5) (3,7,4,8) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.11
| (1,8,2,7) (3,6,4,5) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.12
| (1,7,2,8) (3,5,4,6) | |
| (1,4,2,3) (5,8,6,7) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.13
| (1,3,2,4) (5,7,6,8) | |
| (1,6,2,5) (3,7,4,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.14
| (1,4,2,3) (5,8,6,7) | |
| (1,6,2,5) (3,7,4,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.15
| (1,8,2,7) (3,6,4,5) | |
| (1,6,2,5) (3,7,4,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.16
| (1,7,2,8) (3,5,4,6) | |
| (1,6,2,5) (3,7,4,8) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.17
| (1,3,2,4) (5,7,6,8) | |
| (1,8,2,7) (3,6,4,5) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.18
| (1,5,2,6) (3,8,4,7) | |
| (1,8,2,7) (3,6,4,5) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.19
| (1,4,2,3) (5,8,6,7) | |
| (1,8,2,7) (3,6,4,5) | |
| (1,2) (3,4) (5,6) (7,8) |
3.8-4.1.2.1.20
| (1,6,2,5) (3,7,4,8) | |
| (1,8,2,7) (3,6,4,5) | |
| (1,2) (3,4) (5,6) (7,8) |