Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #11927175 | C2 | semidirect |
| 3. #11926907 | C2 | semidirect |
| 4. #11926902 | C2 | semidirect |
| 5. #11926897 | C2 | semidirect |
| 6. #11926889 | C2 | semidirect |
| 7. #11926549 | C2 | semidirect |
| 8. #11926543 | C2 | semidirect |
| 9. #11926541 | C2 | semidirect |
| 10. #11926499 | C2 | semidirect |
| 11. C2×C19×#102 | C2 | semidirect |
| 26. #10597336 | C22 | semidirect |
| 28. #10597334 | C22 | semidirect |
| 33. #10597278 | C22 | semidirect |
| 34. #10597278 | C22 | semidirect |
| 35. #10597273 | C22 | semidirect |
| 36. #10597273 | C22 | semidirect |
| 37. #10597272 | C22 | semidirect |
| 38. C8×Dic19 | C22 | semidirect |
| 39. #10597267 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 139. C2×#102 | D19 | semidirect |
| 176. C19 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927175 | 2 |
| #11927111 | 2 |
| #11926907 | 2 |
| #11926902 | 2 |
| #11926897 | 2 |
| #11926889 | 2 |
| #11926549 | 2 |
| #11926543 | 2 |
| #11926541 | 2 |
| #11926499 | 2 |
| C2×C19×#102 | 2 |
| #3136 | 19 |