Summary table
| e | v(N) | Character Order | Description | Count |
|---|---|---|---|---|
| 2 | 2 | 2 | principal series | 1 |
| 3 | 4 | 3 | principal series | 13 |
| 3 | 4 | 3 | supercuspidal unramified | 13 |
| 4 | 2 | 4 | supercuspidal unramified | 1 |
| 6 | 4 | 6 | supercuspidal unramified | 13 |
| 6 | 4 | 6 | principal series | 13 |
| 12 | 3 | 6 | supercuspidal ramified | 26 |
| 12 | 5 | 6 | supercuspidal ramified | 27 |
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.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.3.4.1.1.e | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.f | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.g | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.h | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.i | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.j | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.k | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.l | 3 | 4 | 3 | principal series |
| ps.3.4.1.1.m | 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 |
| ps.6.4.1.1.e | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.f | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.g | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.h | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.i | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.j | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.k | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.l | 6 | 4 | 6 | principal series |
| ps.6.4.1.1.m | 6 | 4 | 6 | principal series |
| scu.4.2.1.31.a | 4 | 2 | 4 | supercuspidal unramified |
| scu.3.4.1.31.a | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.b | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.c | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.d | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.e | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.f | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.g | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.h | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.i | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.j | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.k | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.l | 3 | 4 | 3 | supercuspidal unramified |
| scu.3.4.1.31.m | 3 | 4 | 3 | supercuspidal unramified |
| scu.6.4.1.31.a | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.b | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.c | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.d | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.e | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.f | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.g | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.h | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.i | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.j | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.k | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.l | 6 | 4 | 6 | supercuspidal unramified |
| scu.6.4.1.31.m | 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.12.3.1.1.e | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.f | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.g | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.h | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.i | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.j | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.k | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.l | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.1.m | 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.12.3.1.2.e | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.f | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.g | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.h | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.i | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.j | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.k | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.l | 12 | 3 | 6 | supercuspidal ramified |
| scr.12.3.1.2.m | 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 |
| scr.12.5.1.1.j | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.k | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.l | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.m | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.n | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.o | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.p | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.q | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.r | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.s | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.t | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.u | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.v | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.w | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.x | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.y | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.z | 12 | 5 | 6 | supercuspidal ramified |
| scr.12.5.1.1.z27 | 12 | 5 | 6 | supercuspidal ramified |