Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_3:D_4$ |
Group identifier: | $[24,8]$ |
Signature: | $[ 0; 2, 2, 3, 3, 4 ]$ |
Conjugacy classes for this refined passport: | $3, 4, 5, 5, 6$ |
Jacobian variety group algebra decomposition: | $E^{2}\times A_{2}^{2}\times A_{4}^{2}$ |
Corresponding character(s): | $5, 6, 8$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
14.24-8.0.2-2-3-3-4.1.1
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
(1,13) (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) | |
(1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
(1,21,4,24) (2,20,5,23) (3,19,6,22) (7,18,10,15) (8,17,11,14) (9,16,12,13) |
14.24-8.0.2-2-3-3-4.1.2
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
(1,13) (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) | |
(1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) | |
(1,19,4,22) (2,21,5,24) (3,20,6,23) (7,16,10,13) (8,18,11,15) (9,17,12,14) |
14.24-8.0.2-2-3-3-4.1.3
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
(1,13) (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) | |
(1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
(1,19,4,22) (2,21,5,24) (3,20,6,23) (7,16,10,13) (8,18,11,15) (9,17,12,14) |
14.24-8.0.2-2-3-3-4.1.4
(1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
(1,13) (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) | |
(1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) | |
(1,20,4,23) (2,19,5,22) (3,21,6,24) (7,17,10,14) (8,16,11,13) (9,18,12,15) |