Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:Q_8$ |
| Group identifier: | $[24,4]$ |
| Signature: | $[ 0; 4, 4, 12 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 8$ |
The full automorphism group for this family is $C_{24}:C_2$ with signature $[ 0; 2, 4, 24 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}$ |
| Corresponding character(s): | $7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.24-4.0.4-4-12.1.1
| (1,13,4,16) (2,15,5,18) (3,14,6,17) (7,22,10,19) (8,24,11,21) (9,23,12,20) | |
| (1,21,4,24) (2,20,5,23) (3,19,6,22) (7,15,10,18) (8,14,11,17) (9,13,12,16) | |
| (1,8,6,10,2,9,4,11,3,7,5,12) (13,20,18,22,14,21,16,23,15,19,17,24) |