Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^3:D_4$ |
| Group identifier: | $[64,73]$ |
| Signature: | $[ 0; 2, 2, 2, 4 ]$ |
| Conjugacy classes for this refined passport: | $9, 12, 14, 22$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $8, 12, 16, 20, 21$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
9.64-73.0.2-2-2-4.8.1
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,19) (2,20) (3,17) (4,18) (5,23) (6,24) (7,21) (8,22) (9,28) (10,27) (11,26) (12,25) (13,32) (14,31) (15,30) (16,29) (33,51) (34,52) (35,49) (36,50) (37,55) (38,56) (39,53) (40,54) (41,60) (42,59) (43,58) (44,57) (45,64) (46,63) (47,62) (48,61) | |
| (1,36) (2,35) (3,34) (4,33) (5,40) (6,39) (7,38) (8,37) (9,42) (10,41) (11,44) (12,43) (13,46) (14,45) (15,48) (16,47) (17,56) (18,55) (19,54) (20,53) (21,52) (22,51) (23,50) (24,49) (25,62) (26,61) (27,64) (28,63) (29,58) (30,57) (31,60) (32,59) | |
| (1,58,8,63) (2,57,7,64) (3,60,6,61) (4,59,5,62) (9,51,16,54) (10,52,15,53) (11,49,14,56) (12,50,13,55) (17,46,24,43) (18,45,23,44) (19,48,22,41) (20,47,21,42) (25,39,32,34) (26,40,31,33) (27,37,30,36) (28,38,29,35) |
9.64-73.0.2-2-2-4.8.2
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,19) (2,20) (3,17) (4,18) (5,23) (6,24) (7,21) (8,22) (9,28) (10,27) (11,26) (12,25) (13,32) (14,31) (15,30) (16,29) (33,51) (34,52) (35,49) (36,50) (37,55) (38,56) (39,53) (40,54) (41,60) (42,59) (43,58) (44,57) (45,64) (46,63) (47,62) (48,61) | |
| (1,38) (2,37) (3,40) (4,39) (5,34) (6,33) (7,36) (8,35) (9,48) (10,47) (11,46) (12,45) (13,44) (14,43) (15,42) (16,41) (17,50) (18,49) (19,52) (20,51) (21,54) (22,53) (23,56) (24,55) (25,60) (26,59) (27,58) (28,57) (29,64) (30,63) (31,62) (32,61) | |
| (1,64,8,57) (2,63,7,58) (3,62,6,59) (4,61,5,60) (9,53,16,52) (10,54,15,51) (11,55,14,50) (12,56,13,49) (17,44,24,45) (18,43,23,46) (19,42,22,47) (20,41,21,48) (25,33,32,40) (26,34,31,39) (27,35,30,38) (28,36,29,37) |
9.64-73.0.2-2-2-4.8.3
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,23) (2,24) (3,21) (4,22) (5,19) (6,20) (7,17) (8,18) (9,32) (10,31) (11,30) (12,29) (13,28) (14,27) (15,26) (16,25) (33,55) (34,56) (35,53) (36,54) (37,51) (38,52) (39,49) (40,50) (41,64) (42,63) (43,62) (44,61) (45,60) (46,59) (47,58) (48,57) | |
| (1,34) (2,33) (3,36) (4,35) (5,38) (6,37) (7,40) (8,39) (9,44) (10,43) (11,42) (12,41) (13,48) (14,47) (15,46) (16,45) (17,54) (18,53) (19,56) (20,55) (21,50) (22,49) (23,52) (24,51) (25,64) (26,63) (27,62) (28,61) (29,60) (30,59) (31,58) (32,57) | |
| (1,64,8,57) (2,63,7,58) (3,62,6,59) (4,61,5,60) (9,53,16,52) (10,54,15,51) (11,55,14,50) (12,56,13,49) (17,44,24,45) (18,43,23,46) (19,42,22,47) (20,41,21,48) (25,33,32,40) (26,34,31,39) (27,35,30,38) (28,36,29,37) |
9.64-73.0.2-2-2-4.8.4
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,23) (2,24) (3,21) (4,22) (5,19) (6,20) (7,17) (8,18) (9,32) (10,31) (11,30) (12,29) (13,28) (14,27) (15,26) (16,25) (33,55) (34,56) (35,53) (36,54) (37,51) (38,52) (39,49) (40,50) (41,64) (42,63) (43,62) (44,61) (45,60) (46,59) (47,58) (48,57) | |
| (1,40) (2,39) (3,38) (4,37) (5,36) (6,35) (7,34) (8,33) (9,46) (10,45) (11,48) (12,47) (13,42) (14,41) (15,44) (16,43) (17,52) (18,51) (19,50) (20,49) (21,56) (22,55) (23,54) (24,53) (25,58) (26,57) (27,60) (28,59) (29,62) (30,61) (31,64) (32,63) | |
| (1,58,8,63) (2,57,7,64) (3,60,6,61) (4,59,5,62) (9,51,16,54) (10,52,15,53) (11,49,14,56) (12,50,13,55) (17,46,24,43) (18,45,23,44) (19,48,22,41) (20,47,21,42) (25,39,32,34) (26,40,31,33) (27,37,30,36) (28,38,29,35) |