Summary table
| e | v(N) | Character Order | Description | Count |
|---|---|---|---|---|
| 2 | 2 | 2 | principal series | 1 |
| 3 | 4 | 3 | principal series | 1 |
| 3 | 4 | 3 | supercuspidal unramified | 1 |
| 3 | 6 | 3 | principal series | 3 |
| 3 | 6 | 3 | supercuspidal unramified | 3 |
| 3 | 8 | 3 | supercuspidal unramified | 9 |
| 4 | 2 | 4 | supercuspidal unramified | 1 |
| 6 | 4 | 6 | principal series | 1 |
| 6 | 4 | 6 | supercuspidal unramified | 1 |
| 6 | 6 | 6 | principal series | 3 |
| 6 | 6 | 6 | supercuspidal unramified | 3 |
| 6 | 8 | 6 | supercuspidal unramified | 9 |
| 12 | 3 | 6 | supercuspidal ramified | 2 |
| 12 | 7 | 6 | supercuspidal ramified | 6 |
Inertial Types
| Name | e | v(N) | Character Order | Description |
|---|---|---|---|---|
| ps.2.2.1.1.a | 2 | 2 | 2 | principal series |
| ps.3.4.1.1.a | 3 | 4 | 3 | principal series |
| ps.6.4.1.1.a | 6 | 4 | 6 | principal series |
| ps.3.6.1.1.a | 3 | 6 | 3 | principal series |
| ps.3.6.1.1.b | 3 | 6 | 3 | principal series |
| ps.3.6.1.1.c | 3 | 6 | 3 | principal series |
| ps.6.6.1.1.a | 6 | 6 | 6 | principal series |
| ps.6.6.1.1.b | 6 | 6 | 6 | principal series |
| ps.6.6.1.1.c | 6 | 6 | 6 | principal series |
| scu.4.2.1.15.a | 4 | 2 | 4 | supercuspidal unramified |
| scu.3.4.1.15.a | 3 | 4 | 3 | supercuspidal unramified |
| scu.6.4.1.15.a | 6 | 4 | 6 | supercuspidal unramified |
| scu.3.6.1.15.a | 3 | 6 | 3 | supercuspidal unramified |
| scu.3.6.1.15.b | 3 | 6 | 3 | supercuspidal unramified |
| scu.3.6.1.15.c | 3 | 6 | 3 | supercuspidal unramified |
| scu.6.6.1.15.a | 6 | 6 | 6 | supercuspidal unramified |
| scu.6.6.1.15.b | 6 | 6 | 6 | supercuspidal unramified |
| scu.6.6.1.15.c | 6 | 6 | 6 | supercuspidal unramified |
| scu.3.8.1.15.a | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.b | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.c | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.d | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.e | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.f | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.g | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.h | 3 | 8 | 3 | supercuspidal unramified |
| scu.3.8.1.15.i | 3 | 8 | 3 | supercuspidal unramified |
| scu.6.8.1.15.a | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.b | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.c | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.d | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.e | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.f | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.g | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.h | 6 | 8 | 6 | supercuspidal unramified |
| scu.6.8.1.15.i | 6 | 8 | 6 | supercuspidal unramified |
| scr.12.3.1.1.a | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.a | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.7.1.1.a | 12 | 7 | 6 | supercuspidal ramified |
| scr.12.7.1.1.b | 12 | 7 | 6 | supercuspidal ramified |
| scr.12.7.1.1.c | 12 | 7 | 6 | supercuspidal ramified |
| scr.12.7.1.2.a | 12 | 7 | 6 | supercuspidal ramified |
| scr.12.7.1.2.b | 12 | 7 | 6 | supercuspidal ramified |
| scr.12.7.1.2.c | 12 | 7 | 6 | supercuspidal ramified |