Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #125×D19 | C2 | semidirect |
| 3. #11926911 | C2 | semidirect |
| 4. #11926907 | C2 | semidirect |
| 5. #11926901 | C2 | semidirect |
| 6. #11926899 | C2 | semidirect |
| 7. #11926898 | C2 | semidirect |
| 8. #11926544 | C2 | semidirect |
| 9. #11926542 | C2 | semidirect |
| 10. C4×#64515 | C2 | semidirect |
| 11. C19×#488 | C2 | semidirect |
| 117. #488 | D19 | semidirect |
| 153. C19 | #3142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927093 | 2 |
| #125×D19 | 2 |
| #11926911 | 2 |
| #11926907 | 2 |
| #11926901 | 2 |
| #11926899 | 2 |
| #11926898 | 2 |
| #11926544 | 2 |
| #11926542 | 2 |
| C4×#64515 | 2 |
| C19×#488 | 2 |
| #3142 | 19 |