Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927156 | C2 | semidirect |
| 2. #11926939 | C2 | semidirect |
| 3. #11926916 | C2 | semidirect |
| 4. #11926908 | C2 | semidirect |
| 5. #11926898 | C2 | semidirect |
| 6. #11926763 | C2 | semidirect |
| 7. #11926741 | C2 | semidirect |
| 8. #11926706 | C2 | semidirect |
| 9. #11926695 | C2 | semidirect |
| 10. #11926605 | C2 | semidirect |
| 21. C2×#64528 | C22 | semidirect |
| 24. C2×#64526 | C22 | semidirect |
| 28. #10597316 | C22 | semidirect |
| 29. #10597315 | C22 | semidirect |
| 30. C4×Dic38 | C22 | semidirect |
| 31. #10597292 | C22 | semidirect |
| 34. #10597289 | C22 | semidirect |
| 36. C4⋊(C19⋊C8) | C22 | semidirect |
| 37. #10597260 | C22 | semidirect |
| 38. C4×C19⋊C8 | C22 | semidirect |
| 161. C19 | #3222 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927156 | 2 |
| #11926939 | 2 |
| #11926916 | 2 |
| #11926908 | 2 |
| #11926898 | 2 |
| #11926763 | 2 |
| #11926741 | 2 |
| #11926706 | 2 |
| #11926695 | 2 |
| #11926605 | 2 |
| C19×#535 | 2 |
| #3222 | 19 |