Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
466 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 466 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. C2×#10597376 | C2 | semidirect |
| 2. #11926872 | C2 | semidirect |
| 3. #11926868 | C2 | semidirect |
| 4. #11926855 | C2 | semidirect |
| 5. #11926795 | C2 | semidirect |
| 6. #11926792 | C2 | semidirect |
| 7. #11926694 | C2 | semidirect |
| 8. #11926689 | C2 | semidirect |
| 9. #11926677 | C2 | semidirect |
| 10. #11926508 | C2 | semidirect |
| 11. C19×#525 | C2 | semidirect |
| 12. C2×#41×C19 | C22 | semidirect |
| 18. C19×C22⋊Q8 | C22 | semidirect |
| 20. C19×#121 | C22 | semidirect |
| 24. C19×#117 | C22 | semidirect |
| 25. C2×#64527 | C22 | semidirect |
| 26. C2×#64525 | C22 | semidirect |
| 33. C2×#64520 | C22 | semidirect |
| 34. #10597292 | C22 | semidirect |
| 35. #10597289 | C22 | semidirect |
| 38. C22⋊(C19⋊C8) | C22 | semidirect |
| 39. #10597266 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 151. #525 | D19 | semidirect |
| 170. C2×#41 | C2×D19 | semidirect |
| 179. C22⋊Q8 | C2×D19 | semidirect |
| 185. #121 | C2×D19 | semidirect |
| 189. #117 | C2×D19 | semidirect |
| 201. C19 | #3194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926872 | 2 |
| #11926868 | 2 |
| #11926855 | 2 |
| #11926795 | 2 |
| #11926792 | 2 |
| #11926694 | 2 |
| #11926689 | 2 |
| #11926677 | 2 |
| #11926508 | 2 |
| C19×#525 | 2 |
| #3194 | 19 |