Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_4$ |
| Group identifier: | $[24,10]$ |
| Signature: | $[ 0; 4, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $7, 11, 12$ |
The full automorphism group for this family is $C_3:D_8$ with signature $[ 0; 2, 6, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 7, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.24-10.0.4-6-6.2.1
| (1,19,2,20) (3,21,4,22) (5,23,6,24) (7,14,8,13) (9,16,10,15) (11,18,12,17) | |
| (1,11,3,7,5,9) (2,12,4,8,6,10) (13,23,15,19,17,21) (14,24,16,20,18,22) | |
| (1,15,5,13,3,17) (2,16,6,14,4,18) (7,22,11,20,9,24) (8,21,12,19,10,23) |