Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:C_9$ |
| Group identifier: | $[36,3]$ |
| Signature: | $[ 0; 2, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $2, 7, 12$ |
The full automorphism group for this family is $C_2^2:D_9$ with signature $[ 0; 2, 4, 9 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{3}$ |
| Corresponding character(s): | $11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.36-3.0.2-9-9.1.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) | |
| (1,13,25,5,17,29,9,21,33) (2,16,27,6,20,31,10,24,35) (3,14,28,7,18,32,11,22,36) (4,15,26,8,19,30,12,23,34) | |
| (1,34,24,9,30,20,5,26,16) (2,36,21,10,32,17,6,28,13) (3,35,23,11,31,19,7,27,15) (4,33,22,12,29,18,8,25,14) |