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 |
|---|---|---|
| 1. #11927078 | C2 | semidirect |
| 2. #11926926 | C2 | semidirect |
| 3. #11926898 | C2 | semidirect |
| 4. #11926763 | C2 | semidirect |
| 5. #11926756 | C2 | semidirect |
| 6. #11926700 | C2 | semidirect |
| 7. #11926695 | C2 | semidirect |
| 8. #11926683 | C2 | semidirect |
| 10. #11926597 | C2 | semidirect |
| 11. C2×C19×#124 | C2 | semidirect |
| 21. C2×#64528 | C22 | semidirect |
| 22. C2×#64527 | C22 | semidirect |
| 30. #10597321 | C22 | semidirect |
| 31. C4×D76 | C22 | semidirect |
| 33. #10597316 | C22 | semidirect |
| 34. C4×Dic38 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 42. C4×C19⋊C8 | C22 | semidirect |
| 139. C2×#124 | D19 | semidirect |
| 186. C19 | #3211 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926926 | 2 |
| #11926898 | 2 |
| #11926763 | 2 |
| #11926756 | 2 |
| #11926700 | 2 |
| #11926695 | 2 |
| #11926683 | 2 |
| #11926678 | 2 |
| #11926597 | 2 |
| C2×C19×#124 | 2 |
| #3211 | 19 |