Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_8$ |
| Group identifier: | $[24,1]$ |
| Signature: | $[ 0; 2, 8, 8, 12 ]$ |
| Conjugacy classes for this refined passport: | $2, 8, 10, 11$ |
| Jacobian variety group algebra decomposition: | $E\times A_{4}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 5, 9, 11$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.24-1.0.2-8-8-12.4.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24) | |
| (1,19,10,13,4,22,7,16) (2,21,11,15,5,24,8,18) (3,20,12,14,6,23,9,17) | |
| (1,24,10,18,4,21,7,15) (2,23,11,17,5,20,8,14) (3,22,12,16,6,19,9,13) | |
| (1,8,6,10,2,9,4,11,3,7,5,12) (13,20,18,22,14,21,16,23,15,19,17,24) |