Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
440 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 143 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. #11927097 | C2 | semidirect |
| 3. #11926846 | C2 | semidirect |
| 4. #11926842 | C2 | semidirect |
| 5. #11926832 | C2 | semidirect |
| 6. #11926822 | C2 | semidirect |
| 7. #11926587 | C2 | semidirect |
| 8. #11926586 | C2 | semidirect |
| 9. #11926567 | C2 | semidirect |
| 25. #10597336 | C22 | semidirect |
| 26. #10597336 | C22 | semidirect |
| 27. #10597334 | C22 | semidirect |
| 28. #10597334 | C22 | semidirect |
| 37. #10597275 | C22 | semidirect |
| 38. #10597274 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 46. C2×D4×C19 | Q8 | semidirect |
| 181. C19 | #3077 | semidirect |
| 187. C2×D4 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| C2×D4×Dic19 | 2 |
| #11926846 | 2 |
| #11926842 | 2 |
| #11926832 | 2 |
| #11926822 | 2 |
| #11926587 | 2 |
| #11926586 | 2 |
| #11926567 | 2 |
| #11926549 | 2 |
| C19×#418 | 2 |
| #3077 | 19 |