Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
458 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C2×C4⋊C4×D19 | C2 | semidirect |
| 3. #11926878 | C2 | semidirect |
| 4. #11926872 | C2 | semidirect |
| 5. #11926864 | C2 | semidirect |
| 6. #11926858 | C2 | semidirect |
| 7. #11926857 | C2 | semidirect |
| 8. #11926583 | C2 | semidirect |
| 9. #11926544 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#483 | C2 | semidirect |
| 32. C19×#106 | C22 | semidirect |
| 33. C19×#103 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 37. #10597278 | C22 | semidirect |
| 39. #10597275 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 144. #483 | D19 | semidirect |
| 181. #106 | C2×D19 | semidirect |
| 183. #103 | C2×D19 | semidirect |
| 189. C19 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927057 | 2 |
| C2×C4⋊C4×D19 | 2 |
| #11926878 | 2 |
| #11926872 | 2 |
| #11926864 | 2 |
| #11926858 | 2 |
| #11926857 | 2 |
| #11926583 | 2 |
| #11926544 | 2 |
| #11926506 | 2 |
| C19×#483 | 2 |
| #3092 | 19 |