Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_4$ |
| Group identifier: | $[24,8]$ |
| Signature: | $[ 0; 2, 4, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 6, 7, 8$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times E^{2}\times E^{2}\times A_{3}^{2}$ |
| Corresponding character(s): | $5, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
12.24-8.0.2-4-6-6.1.1
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,19,4,22) (2,21,5,24) (3,20,6,23) (7,16,10,13) (8,18,11,15) (9,17,12,14) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) (13,24,14,22,15,23) (16,21,17,19,18,20) |
12.24-8.0.2-4-6-6.1.2
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,21,4,24) (2,20,5,23) (3,19,6,22) (7,18,10,15) (8,17,11,14) (9,16,12,13) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) (13,18,14,16,15,17) (19,24,20,22,21,23) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) (13,24,14,22,15,23) (16,21,17,19,18,20) |