Family Information
| Genus: | $5$ |
| Dimension of the family: | $0$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $3$ |
| Signature: | $[ 0; 2, 4, 12 ]$ |
Group
| Name: | $D_6:C_4$ |
| Identifier: | $[48,14]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 5.48-14.0.2-4-12.1 | 5, 10, 17 |
| 5.48-14.0.2-4-12.2 | 5, 10, 18 |
| 5.48-14.0.2-4-12.3 | 5, 11, 15 |
| 5.48-14.0.2-4-12.4 | 5, 11, 16 |
| 5.48-14.0.2-4-12.5 | 6, 10, 15 |
| 5.48-14.0.2-4-12.6 | 6, 10, 16 |
| 5.48-14.0.2-4-12.7 | 6, 11, 17 |
| 5.48-14.0.2-4-12.8 | 6, 11, 18 |
Displaying the representative for the unique action up to topological equivalence.
5.48-14.0.2-4-12.1.1| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (1,39,10,48) (2,38,11,47) (3,37,12,46) (4,42,7,45) (5,41,8,44) (6,40,9,43) (13,36,22,27) (14,35,23,26) (15,34,24,25) (16,33,19,30) (17,32,20,29) (18,31,21,28) | |
| (1,20,9,13,2,21,7,14,3,19,8,15) (4,23,12,16,5,24,10,17,6,22,11,18) (25,44,33,37,26,45,31,38,27,43,32,39) (28,47,36,40,29,48,34,41,30,46,35,42) |