Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927149 | C2 | semidirect |
| 2. #11926868 | C2 | semidirect |
| 3. #11926844 | C2 | semidirect |
| 4. #11926739 | C2 | semidirect |
| 5. #11926678 | C2 | semidirect |
| 6. #11926654 | C2 | semidirect |
| 7. C4×#64525 | C2 | semidirect |
| 8. #11926605 | C2 | semidirect |
| 9. C19×#518 | C2 | semidirect |
| 22. #10597320 | C22 | semidirect |
| 23. C4×D76 | C22 | semidirect |
| 24. #10597316 | C22 | semidirect |
| 28. #10597266 | C22 | semidirect |
| 29. #10597266 | C22 | semidirect |
| 30. #10597265 | C22 | semidirect |
| 31. #10597264 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 33. #10597260 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 105. #518 | D19 | semidirect |
| 143. C19 | #3122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927149 | 2 |
| #11926868 | 2 |
| #11926844 | 2 |
| #11926739 | 2 |
| #11926678 | 2 |
| #11926654 | 2 |
| C4×#64525 | 2 |
| #11926605 | 2 |
| C19×#518 | 2 |
| #3122 | 19 |