Family Information
| Genus: | $5$ |
| Dimension of the family: | $2$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $5$ |
| Signature: | $[ 0; 2, 2, 2, 2, 3 ]$ |
Group
| Name: | $D_6$ |
| Identifier: | $[12,4]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 5.12-4.0.2-2-2-2-3.1 | 2, 2, 3, 3, 5 |
| 5.12-4.0.2-2-2-2-3.2 | 2, 2, 4, 4, 5 |
| 5.12-4.0.2-2-2-2-3.3 | 3, 3, 4, 4, 5 |
Displaying representatives for 2 topologically inequivalent actions.
5.12-4.0.2-2-2-2-3.1.1| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7) (2,9) (3,8) (4,10) (5,12) (6,11) | |
| (1,9) (2,8) (3,7) (4,12) (5,11) (6,10) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) |
5.12-4.0.2-2-2-2-3.3.1
| (1,7) (2,9) (3,8) (4,10) (5,12) (6,11) | |
| (1,7) (2,9) (3,8) (4,10) (5,12) (6,11) | |
| (1,10) (2,12) (3,11) (4,7) (5,9) (6,8) | |
| (1,12) (2,11) (3,10) (4,9) (5,8) (6,7) | |
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) |