Family Information
Genus: | $12$ |
Quotient genus: | $0$ |
Group name: | $D_{12}$ |
Group identifier: | $[24,6]$ |
Signature: | $[ 0; 2, 2, 2, 2, 12 ]$ |
Conjugacy classes for this refined passport: | $3, 4, 4, 4, 9$ |
Jacobian variety group algebra decomposition: | $E\times E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}$ |
Corresponding character(s): | $2, 3, 5, 6, 7, 8$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 20 of 36 generating vectors for this refined passport.
12.24-6.0.2-2-2-2-12.6.1
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.2
(1,13) (2,15) (3,14) (4,16) (5,18) (6,17) (7,22) (8,24) (9,23) (10,19) (11,21) (12,20) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,23) (2,22) (3,24) (4,20) (5,19) (6,21) (7,17) (8,16) (9,18) (10,14) (11,13) (12,15) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.3
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.4
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.5
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.6
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,13) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.7
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.8
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,13) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.9
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,13) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.10
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,13) | |
(1,23) (2,22) (3,24) (4,20) (5,19) (6,21) (7,17) (8,16) (9,18) (10,14) (11,13) (12,15) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.11
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,23) (2,22) (3,24) (4,20) (5,19) (6,21) (7,17) (8,16) (9,18) (10,14) (11,13) (12,15) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.12
(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) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,23) (2,22) (3,24) (4,20) (5,19) (6,21) (7,17) (8,16) (9,18) (10,14) (11,13) (12,15) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.13
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.14
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,13) (8,15) (9,14) (10,16) (11,18) (12,17) | |
(1,24) (2,23) (3,22) (4,21) (5,20) (6,19) (7,18) (8,17) (9,16) (10,15) (11,14) (12,13) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.15
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.16
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,23) (2,22) (3,24) (4,20) (5,19) (6,21) (7,17) (8,16) (9,18) (10,14) (11,13) (12,15) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.17
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |
12.24-6.0.2-2-2-2-12.6.18
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,20) (2,19) (3,21) (4,23) (5,22) (6,24) (7,14) (8,13) (9,15) (10,17) (11,16) (12,18) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.19
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,21) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,9,5,10,3,8,4,12,2,7,6,11) (13,21,17,22,15,20,16,24,14,19,18,23) |
12.24-6.0.2-2-2-2-12.6.20
(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) (2,20) (3,19) (4,24) (5,23) (6,22) (7,15) (8,14) (9,13) (10,18) (11,17) (12,16) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,22) (2,24) (3,23) (4,19) (5,21) (6,20) (7,16) (8,18) (9,17) (10,13) (11,15) (12,14) | |
(1,11,6,7,2,12,4,8,3,10,5,9) (13,23,18,19,14,24,16,20,15,22,17,21) |