Summary table
| e | v(N) | Character Order | Description | Count |
|---|---|---|---|---|
| 2 | 2 | 2 | principal series | 1 |
| 3 | 4 | 3 | principal series | 4 |
| 3 | 4 | 3 | supercuspidal unramified | 4 |
| 4 | 2 | 4 | principal series | 1 |
| 6 | 4 | 6 | supercuspidal unramified | 4 |
| 6 | 4 | 6 | principal series | 4 |
| 12 | 3 | 6 | supercuspidal ramified | 8 |
| 12 | 5 | 6 | supercuspidal ramified | 9 |
Inertial Types
| Name | e | v(N) | Character Order | Description |
|---|---|---|---|---|
| ps.2.2.1.1.a | 2 | 2 | 2 | principal series |
| ps.4.2.1.1.a | 4 | 2 | 4 | principal series |
| ps.3.4.1.1.a | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.b | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.c | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.d | 3 | 4 | 3 | principal series |
| ps.6.4.1.1.a | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.b | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.c | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.d | 6 | 4 | 6 | principal series |
| scu.3.4.1.15.a | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.15.b | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.15.c | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.15.d | 3 | 4 | 3 | supercuspidal unramified |
| scu.6.4.1.15.a | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.15.b | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.15.c | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.15.d | 6 | 4 | 6 | supercuspidal unramified |
| scr.12.3.1.1.a | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.b | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.c | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.d | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.a | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.b | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.c | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.d | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.5.1.1.a | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.b | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.c | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.d | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.e | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.f | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.g | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.h | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.i | 12 | 5 | 6 | supercuspidal ramified |