Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $\SD_{16}$ |
| Group identifier: | $[16,8]$ |
| Signature: | $[ 0; 2, 4, 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 4, 5, 7$ |
| Jacobian variety group algebra decomposition: | $A_{2}^{2}\times A_{5}^{2}$ |
| Corresponding character(s): | $5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
14.16-8.0.2-4-4-4-8.2.1
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,10,2,9) (3,11,4,12) (5,16,6,15) (7,14,8,13) | |
| (1,14,3,16,2,13,4,15) (5,11,7,10,6,12,8,9) |
14.16-8.0.2-4-4-4-8.2.2
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,11,2,12) (3,9,4,10) (5,14,6,13) (7,15,8,16) | |
| (1,16,4,14,2,15,3,13) (5,10,8,11,6,9,7,12) |
14.16-8.0.2-4-4-4-8.2.3
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) | |
| (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) |
14.16-8.0.2-4-4-4-8.2.4
| (1,5) (2,6) (3,8) (4,7) (9,13) (10,14) (11,16) (12,15) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) | |
| (1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) | |
| (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) |