Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_{24}$ |
| Group identifier: | $[24,2]$ |
| Signature: | $[ 0; 6, 24, 24 ]$ |
| Conjugacy classes for this refined passport: | $7, 17, 23$ |
The full automorphism group for this family is $C_3\times \GL(2,3)$ with signature $[ 0; 2, 3, 24 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times A_{4}\times A_{2}\times E$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.24-2.0.6-24-24.1.1
| (1,6,9,2,5,10) (3,8,11,4,7,12) (13,18,21,14,17,22) (15,20,23,16,19,24) | |
| (1,17,11,15,6,22,4,20,9,13,7,23,2,18,12,16,5,21,3,19,10,14,8,24) | |
| (1,19,12,13,6,24,3,18,9,15,8,21,2,20,11,14,5,23,4,17,10,16,7,22) |