Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
460 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 135 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. #11926881 | C2 | semidirect |
| 4. #11926880 | C2 | semidirect |
| 5. #11926879 | C2 | semidirect |
| 6. #11926878 | C2 | semidirect |
| 7. #11926877 | C2 | semidirect |
| 8. #107×D19 | C2 | semidirect |
| 9. #103×D19 | C2 | semidirect |
| 11. C19×#484 | C2 | semidirect |
| 32. C19×#107 | C22 | semidirect |
| 33. C19×#103 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 38. #10597275 | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597264 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 144. #484 | D19 | direct (N × H) |
| 153. D19 | #484 | direct (N × H) |
| 177. #107 | C2×D19 | semidirect |
| 181. #103 | C2×D19 | semidirect |
| 185. C19 | C2×#484 | 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×C4⋊C4×D19 | 2 |
| #11926881 | 2 |
| #11926880 | 2 |
| #11926879 | 2 |
| #11926878 | 2 |
| #11926877 | 2 |
| #107×D19 | 2 |
| #103×D19 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#484 | 2 |
| C2×#484 | 19 |