Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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. #11927055 | C2 | semidirect |
| 2. #11926879 | C2 | semidirect |
| 3. #11926865 | C2 | semidirect |
| 4. #11926862 | C2 | semidirect |
| 5. #11926778 | C2 | semidirect |
| 6. #11926771 | C2 | semidirect |
| 7. #11926695 | C2 | semidirect |
| 8. #11926687 | C2 | semidirect |
| 9. #11926678 | C2 | semidirect |
| 10. C2×C22⋊(C19⋊C8) | C2 | semidirect |
| 11. C2×C19×#121 | C2 | semidirect |
| 15. C2×#64541 | C22 | semidirect |
| 23. C2×#64526 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 26. #10597376 | C22 | semidirect |
| 30. #10597372 | C22 | semidirect |
| 32. #10597370 | C22 | semidirect |
| 33. C22×C19⋊C8 | C22 | semidirect |
| 34. #10597289 | C22 | semidirect |
| 35. #10597289 | C22 | semidirect |
| 38. C22⋊(C19⋊C8) | C22 | semidirect |
| 39. #10597267 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 152. C2×#121 | D19 | semidirect |
| 201. C19 | #3188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927055 | 2 |
| #11926879 | 2 |
| #11926865 | 2 |
| #11926862 | 2 |
| #11926778 | 2 |
| #11926771 | 2 |
| #11926695 | 2 |
| #11926687 | 2 |
| #11926678 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| C2×C19×#121 | 2 |
| #3188 | 19 |