Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #11926887 | C2 | semidirect |
| 4. #11926883 | C2 | semidirect |
| 5. #11926879 | C2 | semidirect |
| 6. #11926875 | C2 | semidirect |
| 7. #11926872 | C2 | semidirect |
| 8. #11926585 | C2 | semidirect |
| 9. #11926551 | C2 | semidirect |
| 11. C19×#484 | C2 | semidirect |
| 32. C19×#107 | C22 | semidirect |
| 33. C19×#103 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 38. #10597274 | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 139. #484 | D19 | semidirect |
| 172. #107 | C2×D19 | semidirect |
| 178. #103 | C2×D19 | semidirect |
| 182. C19 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊Q8×D19 | 2 |
| C2×#10597338 | 2 |
| #11926887 | 2 |
| #11926883 | 2 |
| #11926879 | 2 |
| #11926875 | 2 |
| #11926872 | 2 |
| #11926585 | 2 |
| #11926551 | 2 |
| #11926506 | 2 |
| C19×#484 | 2 |
| #3095 | 19 |