Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $D_{24}$ |
| Group identifier: | $[48,7]$ |
| Signature: | $[ 0; 2, 2, 3, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 9$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{2}^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $5, 10, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (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) (37,38,39) (40,41,42) (43,44,45) (46,47,48) |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.48-7.0.2-2-3-8.2.1
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,42) (2,41) (3,40) (4,39) (5,38) (6,37) (7,45) (8,44) (9,43) (10,48) (11,47) (12,46) (13,30) (14,29) (15,28) (16,27) (17,26) (18,25) (19,33) (20,32) (21,31) (22,36) (23,35) (24,34) | |
| (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) (37,38,39) (40,41,42) (43,44,45) (46,47,48) | |
| (1,22,7,13,4,19,10,16) (2,23,8,14,5,20,11,17) (3,24,9,15,6,21,12,18) (25,46,31,37,28,43,34,40) (26,47,32,38,29,44,35,41) (27,48,33,39,30,45,36,42) |
14.48-7.0.2-2-3-8.2.2
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,41) (2,40) (3,42) (4,38) (5,37) (6,39) (7,44) (8,43) (9,45) (10,47) (11,46) (12,48) (13,29) (14,28) (15,30) (16,26) (17,25) (18,27) (19,32) (20,31) (21,33) (22,35) (23,34) (24,36) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) (25,27,26) (28,30,29) (31,33,32) (34,36,35) (37,39,38) (40,42,41) (43,45,44) (46,48,47) | |
| (1,22,7,13,4,19,10,16) (2,23,8,14,5,20,11,17) (3,24,9,15,6,21,12,18) (25,46,31,37,28,43,34,40) (26,47,32,38,29,44,35,41) (27,48,33,39,30,45,36,42) |