Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_6:C_4$ |
| Group identifier: | $[24,7]$ |
| Signature: | $[ 0; 2, 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 9, 9, 11$ |
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times E^{2}\times A_{4}$ |
| Corresponding character(s): | $3, 5, 7, 9, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.24-7.0.2-4-4-6.20.1
| (1,10) (2,11) (3,12) (4,7) (5,8) (6,9) (13,22) (14,23) (15,24) (16,19) (17,20) (18,21) | |
| (1,22,4,19) (2,24,5,21) (3,23,6,20) (7,16,10,13) (8,18,11,15) (9,17,12,14) | |
| (1,24,4,21) (2,23,5,20) (3,22,6,19) (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) |