Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_4$ |
| Group identifier: | $[24,8]$ |
| Signature: | $[ 0; 2, 2, 2, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 4, 6, 8$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{2}\times E^{2}\times A_{3}^{2}$ |
| Corresponding character(s): | $3, 4, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
14.24-8.0.2-2-2-4-6.4.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,7) (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) | |
| (1,21,4,24) (2,20,5,23) (3,19,6,22) (7,18,10,15) (8,17,11,14) (9,16,12,13) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) (13,20,15,19,14,21) (16,23,18,22,17,24) |
14.24-8.0.2-2-2-4-6.4.2
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,7) (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) | |
| (1,23,4,20) (2,22,5,19) (3,24,6,21) (7,14,10,17) (8,13,11,16) (9,15,12,18) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) (13,24,14,22,15,23) (16,21,17,19,18,20) |
14.24-8.0.2-2-2-4-6.4.3
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) (13,22) (14,23) (15,24) (16,19) (17,20) (18,21) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,20,4,23) (2,19,5,22) (3,21,6,24) (7,17,10,14) (8,16,11,13) (9,18,12,15) | |
| (1,12,2,10,3,11) (4,9,5,7,6,8) (13,24,14,22,15,23) (16,21,17,19,18,20) |
14.24-8.0.2-2-2-4-6.4.4
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) (13,22) (14,23) (15,24) (16,19) (17,20) (18,21) | |
| (1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
| (1,24,4,21) (2,23,5,20) (3,22,6,19) (7,15,10,18) (8,14,11,17) (9,13,12,16) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) (13,20,15,19,14,21) (16,23,18,22,17,24) |