Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $C_2.S_4$ |
| Group identifier: | $[48,28]$ |
| Signature: | $[ 0; 3, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 7, 8$ |
The full automorphism group for this family is $\GL(2,3):C_2$ with signature $[ 0; 2, 6, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times E^{3}\times A_{2}^{2}$ |
| Corresponding character(s): | $4, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-28.0.3-8-8.1.1
| (1,9,17) (2,10,18) (3,15,22) (4,16,21) (5,12,24) (6,11,23) (7,14,19) (8,13,20) (25,33,41) (26,34,42) (27,39,46) (28,40,45) (29,36,48) (30,35,47) (31,38,43) (32,37,44) | |
| (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) | |
| (1,48,5,44,2,47,6,43) (3,42,8,46,4,41,7,45) (9,40,13,36,10,39,14,35) (11,34,16,38,12,33,15,37) (17,32,21,28,18,31,22,27) (19,26,24,30,20,25,23,29) |