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: | $9, 11, 13, 22$ |
| 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.
9.64-73.0.2-2-2-4.2.1
| (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) | |
| (1,17) (2,18) (3,19) (4,20) (5,21) (6,22) (7,23) (8,24) (9,26) (10,25) (11,28) (12,27) (13,30) (14,29) (15,32) (16,31) (33,49) (34,50) (35,51) (36,52) (37,53) (38,54) (39,55) (40,56) (41,58) (42,57) (43,60) (44,59) (45,62) (46,61) (47,64) (48,63) | |
| (1,35) (2,36) (3,33) (4,34) (5,39) (6,40) (7,37) (8,38) (9,41) (10,42) (11,43) (12,44) (13,45) (14,46) (15,47) (16,48) (17,55) (18,56) (19,53) (20,54) (21,51) (22,52) (23,49) (24,50) (25,61) (26,62) (27,63) (28,64) (29,57) (30,58) (31,59) (32,60) | |
| (1,59,8,62) (2,60,7,61) (3,57,6,64) (4,58,5,63) (9,50,16,55) (10,49,15,56) (11,52,14,53) (12,51,13,54) (17,47,24,42) (18,48,23,41) (19,45,22,44) (20,46,21,43) (25,38,32,35) (26,37,31,36) (27,40,30,33) (28,39,29,34) |
9.64-73.0.2-2-2-4.2.2
| (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) | |
| (1,17) (2,18) (3,19) (4,20) (5,21) (6,22) (7,23) (8,24) (9,26) (10,25) (11,28) (12,27) (13,30) (14,29) (15,32) (16,31) (33,49) (34,50) (35,51) (36,52) (37,53) (38,54) (39,55) (40,56) (41,58) (42,57) (43,60) (44,59) (45,62) (46,61) (47,64) (48,63) | |
| (1,37) (2,38) (3,39) (4,40) (5,33) (6,34) (7,35) (8,36) (9,47) (10,48) (11,45) (12,46) (13,43) (14,44) (15,41) (16,42) (17,49) (18,50) (19,51) (20,52) (21,53) (22,54) (23,55) (24,56) (25,59) (26,60) (27,57) (28,58) (29,63) (30,64) (31,61) (32,62) | |
| (1,61,8,60) (2,62,7,59) (3,63,6,58) (4,64,5,57) (9,56,16,49) (10,55,15,50) (11,54,14,51) (12,53,13,52) (17,41,24,48) (18,42,23,47) (19,43,22,46) (20,44,21,45) (25,36,32,37) (26,35,31,38) (27,34,30,39) (28,33,29,40) |
9.64-73.0.2-2-2-4.2.3
| (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) | |
| (1,21) (2,22) (3,23) (4,24) (5,17) (6,18) (7,19) (8,20) (9,30) (10,29) (11,32) (12,31) (13,26) (14,25) (15,28) (16,27) (33,53) (34,54) (35,55) (36,56) (37,49) (38,50) (39,51) (40,52) (41,62) (42,61) (43,64) (44,63) (45,58) (46,57) (47,60) (48,59) | |
| (1,33) (2,34) (3,35) (4,36) (5,37) (6,38) (7,39) (8,40) (9,43) (10,44) (11,41) (12,42) (13,47) (14,48) (15,45) (16,46) (17,53) (18,54) (19,55) (20,56) (21,49) (22,50) (23,51) (24,52) (25,63) (26,64) (27,61) (28,62) (29,59) (30,60) (31,57) (32,58) | |
| (1,61,8,60) (2,62,7,59) (3,63,6,58) (4,64,5,57) (9,56,16,49) (10,55,15,50) (11,54,14,51) (12,53,13,52) (17,41,24,48) (18,42,23,47) (19,43,22,46) (20,44,21,45) (25,36,32,37) (26,35,31,38) (27,34,30,39) (28,33,29,40) |
9.64-73.0.2-2-2-4.2.4
| (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) | |
| (1,21) (2,22) (3,23) (4,24) (5,17) (6,18) (7,19) (8,20) (9,30) (10,29) (11,32) (12,31) (13,26) (14,25) (15,28) (16,27) (33,53) (34,54) (35,55) (36,56) (37,49) (38,50) (39,51) (40,52) (41,62) (42,61) (43,64) (44,63) (45,58) (46,57) (47,60) (48,59) | |
| (1,39) (2,40) (3,37) (4,38) (5,35) (6,36) (7,33) (8,34) (9,45) (10,46) (11,47) (12,48) (13,41) (14,42) (15,43) (16,44) (17,51) (18,52) (19,49) (20,50) (21,55) (22,56) (23,53) (24,54) (25,57) (26,58) (27,59) (28,60) (29,61) (30,62) (31,63) (32,64) | |
| (1,59,8,62) (2,60,7,61) (3,57,6,64) (4,58,5,63) (9,50,16,55) (10,49,15,56) (11,52,14,53) (12,51,13,54) (17,47,24,42) (18,48,23,41) (19,45,22,44) (20,46,21,43) (25,38,32,35) (26,37,31,36) (27,40,30,33) (28,39,29,34) |