Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11927099 | C2 | semidirect |
| 3. #11926936 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926768 | C2 | semidirect |
| 7. #11926764 | C2 | semidirect |
| 8. #11926698 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#497 | C2 | semidirect |
| 14. C2×Q16×C19 | C22 | semidirect |
| 16. C19×C4⋊Q8 | C22 | semidirect |
| 20. Q8×Dic19 | C22 | semidirect |
| 21. C2×#64528 | C22 | semidirect |
| 34. #10597315 | C22 | semidirect |
| 35. C19×#97 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 41. Dic19⋊C8 | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 140. #497 | D19 | semidirect |
| 157. C2×Q16 | C2×D19 | semidirect |
| 161. C4⋊Q8 | C2×D19 | semidirect |
| 184. #97 | C2×D19 | semidirect |
| 185. C19 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #124×D19 | 2 |
| #11926936 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926768 | 2 |
| #11926764 | 2 |
| #11926698 | 2 |
| #11926693 | 2 |
| #11926599 | 2 |
| C19×#497 | 2 |
| #3215 | 19 |