Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
448 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927360 | C2 | semidirect |
| 2. #11927355 | C2 | semidirect |
| 3. #11926939 | C2 | semidirect |
| 4. #11926817 | C2 | semidirect |
| 5. #11926806 | C2 | semidirect |
| 6. #11926728 | C2 | semidirect |
| 7. #11926716 | C2 | semidirect |
| 8. #11926663 | C2 | semidirect |
| 9. C19×#455 | C2 | semidirect |
| 12. #10597433 | C22 | semidirect |
| 20. C2×#64528 | C22 | semidirect |
| 29. #10597355 | C22 | semidirect |
| 30. #10597353 | C22 | semidirect |
| 31. #10597315 | C22 | semidirect |
| 34. #10597293 | C22 | semidirect |
| 35. #10597281 | C22 | semidirect |
| 36. #10597279 | C22 | semidirect |
| 37. #10597262 | C22 | semidirect |
| 38. #10597260 | C22 | semidirect |
| 131. #455 | D19 | semidirect |
| 168. C19 | #3289 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927360 | 2 |
| #11927355 | 2 |
| #11926939 | 2 |
| #11926817 | 2 |
| #11926806 | 2 |
| #11926728 | 2 |
| #11926716 | 2 |
| #11926663 | 2 |
| C19×#455 | 2 |
| #3289 | 19 |