Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_4$ |
| Group identifier: | $[24,8]$ |
| Signature: | $[ 0; 2, 2, 2, 3, 4 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 4, 5, 6$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times E^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
12.24-8.0.2-2-2-3-4.1.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24) | |
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
| (1,23,4,20) (2,22,5,19) (3,24,6,21) (7,14,10,17) (8,13,11,16) (9,15,12,18) |
12.24-8.0.2-2-2-3-4.1.2
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24) | |
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) | |
| (1,24,4,21) (2,23,5,20) (3,22,6,19) (7,15,10,18) (8,14,11,17) (9,13,12,16) |