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: | $3, 6, 8, 10$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times A_{4}\times E^{2}\times A_{2}$ |
| Corresponding character(s): | $5, 7, 9, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.24-7.0.2-4-4-6.7.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,13,4,16) (2,15,5,18) (3,14,6,17) (7,19,10,22) (8,21,11,24) (9,20,12,23) | |
| (1,21,4,24) (2,20,5,23) (3,19,6,22) (7,15,10,18) (8,14,11,17) (9,13,12,16) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) |