Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $\SD_{16}$ |
| Group identifier: | $[16,8]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 3, 6, 7$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{6}^{2}$ |
| Corresponding character(s): | $3, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
15.16-8.0.2-2-2-2-8-8.2.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,13,3,15,2,14,4,16) (5,12,7,9,6,11,8,10) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) |
15.16-8.0.2-2-2-2-8-8.2.2
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) | |
| (1,13,3,15,2,14,4,16) (5,12,7,9,6,11,8,10) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) |