Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{12}$ |
| Group identifier: | $[24,9]$ |
| Signature: | $[ 0; 2, 3, 4, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 5, 9, 20$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{2}\times E\times E$ |
| Corresponding character(s): | $3, 10, 11, 12, 13, 14$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.24-9.0.2-3-4-12.3.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,3,5) (2,4,6) (7,9,11) (8,10,12) (13,15,17) (14,16,18) (19,21,23) (20,22,24) | |
| (1,19,2,20) (3,21,4,22) (5,23,6,24) (7,13,8,14) (9,15,10,16) (11,17,12,18) | |
| (1,18,4,13,5,16,2,17,3,14,6,15) (7,24,10,19,11,22,8,23,9,20,12,21) |