Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{24}$ |
| Group identifier: | $[24,2]$ |
| Signature: | $[ 0; 2, 24, 24 ]$ |
| Conjugacy classes for this refined passport: | $2, 18, 19$ |
The full automorphism group for this family is $C_{24}:C_2$ with signature $[ 0; 2, 4, 24 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.24-2.0.2-24-24.2.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) | |
| (1,22,7,16,10,17,4,23,5,14,11,20,2,21,8,15,9,18,3,24,6,13,12,19) | |
| (1,20,12,14,6,23,3,17,9,16,8,22,2,19,11,13,5,24,4,18,10,15,7,21) |