Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_8$ |
| Group identifier: | $[24,1]$ |
| Signature: | $[ 0; 3, 3, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 8, 9$ |
The full automorphism group for this family is $C_3:D_8$ with signature $[ 0; 2, 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times E^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $9, 10, 11$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.24-1.0.3-3-8-8.2.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
| (1,19,10,13,4,22,7,16) (2,21,11,15,5,24,8,18) (3,20,12,14,6,23,9,17) | |
| (1,17,7,23,4,14,10,20) (2,16,8,22,5,13,11,19) (3,18,9,24,6,15,12,21) |
14.24-1.0.3-3-8-8.2.2
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) | |
| (1,19,10,13,4,22,7,16) (2,21,11,15,5,24,8,18) (3,20,12,14,6,23,9,17) | |
| (1,16,7,22,4,13,10,19) (2,18,8,24,5,15,11,21) (3,17,9,23,6,14,12,20) |