Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $\SD_{16}$ |
| Group identifier: | $[16,8]$ |
| Signature: | $[ 0; 4, 4, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $5, 5, 7, 7$ |
The full automorphism group for this family is $C_2\times \SD_{16}$ with signature $[ 0; 2, 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $2, 5, 6$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
11.16-8.0.4-4-8-8.3.1
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) |
11.16-8.0.4-4-8-8.3.2
| (1,9,2,10) (3,12,4,11) (5,15,6,16) (7,13,8,14) | |
| (1,12,2,11) (3,10,4,9) (5,13,6,14) (7,16,8,15) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) |