Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
418 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11927054 | C2 | semidirect |
| 2. #11926888 | C2 | semidirect |
| 3. #11926867 | C2 | semidirect |
| 4. #11926802 | C2 | semidirect |
| 5. #11926788 | C2 | semidirect |
| 6. #11926707 | C2 | semidirect |
| 7. #11926686 | C2 | semidirect |
| 8. #11926507 | C2 | semidirect |
| 9. C19×#469 | C2 | semidirect |
| 12. C2×D8×C19 | C22 | semidirect |
| 18. C2×#64526 | C22 | semidirect |
| 21. C2×Dic76 | C22 | semidirect |
| 26. C19×#106 | C22 | semidirect |
| 27. C19×#102 | C22 | semidirect |
| 28. #10597289 | C22 | semidirect |
| 31. #10597274 | C22 | semidirect |
| 32. #10597273 | C22 | semidirect |
| 33. #10597267 | C22 | semidirect |
| 34. #10597264 | C22 | semidirect |
| 118. #469 | D19 | semidirect |
| 132. C2×D8 | C2×D19 | semidirect |
| 146. #106 | C2×D19 | semidirect |
| 150. #102 | C2×D19 | semidirect |
| 153. C19 | #3197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927054 | 2 |
| #11926888 | 2 |
| #11926867 | 2 |
| #11926802 | 2 |
| #11926788 | 2 |
| #11926707 | 2 |
| #11926686 | 2 |
| #11926507 | 2 |
| C19×#469 | 2 |
| #3197 | 19 |