Summary table
| e | v(N) | Character Order | Description | Count |
|---|---|---|---|---|
| 2 | 4 | 2 | principal series | 1 |
| 2 | 6 | 2 | principal series | 2 |
| 3 | 2 | 3 | supercuspidal unramified | 1 |
| 4 | 8 | 4 | principal series | 2 |
| 4 | 8 | 4 | supercuspidal unramified | 2 |
| 6 | 4 | 6 | supercuspidal unramified | 1 |
| 6 | 6 | 6 | supercuspidal unramified | 2 |
| 8 | 5 | 4 | supercuspidal ramified | 2 |
| 8 | 6 | 4 | supercuspidal ramified | 2 |
| 8 | 8 | 4 | supercuspidal ramified | 2 |
| 24 | 3 | 4 | exceptional, SL(2,3) | 1 |
| 24 | 4 | 4 | exceptional, SL(2,3) | 1 |
| 24 | 6 | 4 | exceptional, SL(2,3) | 2 |
| 24 | 7 | 4 | exceptional, SL(2,3) | 4 |
Inertial Types
| Name | e | v(N) | Character Order | Description |
|---|---|---|---|---|
| ps.2.4.1.1.a | 2 | 4 | 2 | principal series |
| ps.2.6.1.1.a | 2 | 6 | 2 | principal series |
| ps.2.6.1.1.b | 2 | 6 | 2 | principal series |
| ps.4.8.1.1.a | 4 | 8 | 4 | principal series |
| ps.4.8.1.1.b | 4 | 8 | 4 | principal series |
| scu.3.2.1.7.a | 3 | 2 | 3 | supercuspidal unramified |
| scu.6.4.1.7.a | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.6.1.7.a | 6 | 6 | 6 | supercuspidal unramified |
| scu.6.6.1.7.b | 6 | 6 | 6 | supercuspidal unramified |
| scu.4.8.1.7.a | 4 | 8 | 4 | supercuspidal unramified |
| scu.4.8.1.7.b | 4 | 8 | 4 | supercuspidal unramified |
| scr.8.5.1.1.a | 8 | 5 | 4 | supercuspidal ramified |
| scr.8.5.1.2.a | 8 | 5 | 4 | supercuspidal ramified |
| scr.8.6.1.1.a | 8 | 6 | 4 | supercuspidal ramified |
| scr.8.6.1.2.a | 8 | 6 | 4 | supercuspidal ramified |
| scr.8.8.1.1.a | 8 | 8 | 4 | supercuspidal ramified |
| scr.8.8.1.1.b | 8 | 8 | 4 | supercuspidal ramified |
| ex.24.3.1.1_3_5.a | 24 | 3 | 4 | exceptional, SL(2,3) |
| ex.24.4.1.1_3_5.a | 24 | 4 | 4 | exceptional, SL(2,3) |
| ex.24.6.1.1_3_5.a | 24 | 6 | 4 | exceptional, SL(2,3) |
| ex.24.6.1.1_3_5.b | 24 | 6 | 4 | exceptional, SL(2,3) |
| ex.24.7.1.55_79_103.a | 24 | 7 | 4 | exceptional, SL(2,3) |
| ex.24.7.1.55_79_103.b | 24 | 7 | 4 | exceptional, SL(2,3) |
| ex.24.7.1.55_79_103.c | 24 | 7 | 4 | exceptional, SL(2,3) |
| ex.24.7.1.55_79_103.d | 24 | 7 | 4 | exceptional, SL(2,3) |