Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_2.S_4$ |
| Group identifier: | $[48,28]$ |
| Signature: | $[ 0; 6, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 7$ |
The full automorphism group for this family is $\GL(2,3):C_2$ with signature $[ 0; 2, 8, 12 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times E^{3}\times A_{4}^{2}$ |
| Corresponding character(s): | $4, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-28.0.6-8-8.1.1
| (1,10,17,2,9,18) (3,16,22,4,15,21) (5,11,24,6,12,23) (7,13,19,8,14,20) (25,34,41,26,33,42) (27,40,46,28,39,45) (29,35,48,30,36,47) (31,37,43,32,38,44) | |
| (1,27,8,30,2,28,7,29) (3,31,6,25,4,32,5,26) (9,43,16,46,10,44,15,45) (11,47,14,41,12,48,13,42) (17,35,24,38,18,36,23,37) (19,39,22,33,20,40,21,34) | |
| (1,47,5,43,2,48,6,44) (3,41,8,45,4,42,7,46) (9,39,13,35,10,40,14,36) (11,33,16,37,12,34,15,38) (17,31,21,27,18,32,22,28) (19,25,24,29,20,26,23,30) |