Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752915 | C2 | semidirect |
| 2. #23752539 | C2 | semidirect |
| 3. #23752527 | C2 | semidirect |
| 4. #23752509 | C2 | semidirect |
| 5. #23752466 | C2 | semidirect |
| 6. C4×D1208 | C2 | semidirect |
| 7. #23752291 | C2 | semidirect |
| 8. #23752251 | C2 | semidirect |
| 9. #499×C151 | C2 | semidirect |
| 102. C151 | #3355 | semidirect |
| 105. #499 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752915 | 2 |
| #23752539 | 2 |
| #23752527 | 2 |
| #23752509 | 2 |
| #23752466 | 2 |
| C4×D1208 | 2 |
| #23752291 | 2 |
| #23752251 | 2 |
| #499×C151 | 2 |
| #3355 | 151 |