Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic19 | C2 | semidirect |
| 2. #11926877 | C2 | semidirect |
| 3. #11926872 | C2 | semidirect |
| 4. #11926860 | C2 | semidirect |
| 5. #11926855 | C2 | semidirect |
| 6. #11926587 | C2 | semidirect |
| 7. #11926545 | C2 | semidirect |
| 8. #11926508 | C2 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 33. #10597265 | C22 | semidirect |
| 34. #10597264 | C22 | semidirect |
| 165. C19 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic19 | 2 |
| #11926877 | 2 |
| #11926872 | 2 |
| #11926860 | 2 |
| #11926855 | 2 |
| #11926587 | 2 |
| #11926545 | 2 |
| #11926508 | 2 |
| C19×#525 | 2 |
| #3092 | 19 |