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: | $8, 18, 24$ |
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.
10.24-2.0.6-24-24.3.1
| (1,10,5,2,9,6) (3,12,7,4,11,8) (13,22,17,14,21,18) (15,24,19,16,23,20) | |
| (1,22,7,16,10,17,4,23,5,14,11,20,2,21,8,15,9,18,3,24,6,13,12,19) | |
| (1,24,8,14,10,19,3,21,5,16,12,18,2,23,7,13,9,20,4,22,6,15,11,17) |