Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #23752927 | C2 | semidirect |
| 2. #23752865 | C2 | semidirect |
| 3. #23752562 | C2 | semidirect |
| 4. #23752551 | C2 | semidirect |
| 5. #23752503 | C2 | semidirect |
| 6. #23752438 | C2 | semidirect |
| 7. #23752356 | C2 | semidirect |
| 8. C4×#14558989 | C2 | semidirect |
| 9. #23752277 | C2 | semidirect |
| 10. #23752207 | C2 | semidirect |
| 11. #461×C151 | C2 | semidirect |
| 130. C151 | #3303 | semidirect |
| 138. #461 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752927 | 2 |
| #23752865 | 2 |
| #23752562 | 2 |
| #23752551 | 2 |
| #23752503 | 2 |
| #23752438 | 2 |
| #23752356 | 2 |
| C4×#14558989 | 2 |
| #23752277 | 2 |
| #23752207 | 2 |
| #461×C151 | 2 |
| #3303 | 151 |