Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927255 | C2 | semidirect |
| 2. #11927215 | C2 | semidirect |
| 3. #11926907 | C2 | semidirect |
| 4. #11926892 | C2 | semidirect |
| 5. #11926843 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926738 | C2 | semidirect |
| 8. #11926671 | C2 | semidirect |
| 9. #11926655 | C2 | semidirect |
| 10. C4×#64525 | C2 | semidirect |
| 11. C19×#476 | C2 | semidirect |
| 96. D76 | #41 | semidirect |
| 129. #476 | D19 | semidirect |
| 170. C19 | #3366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927255 | 2 |
| #11927215 | 2 |
| #11926907 | 2 |
| #11926892 | 2 |
| #11926843 | 2 |
| #11926740 | 2 |
| #11926738 | 2 |
| #11926671 | 2 |
| #11926655 | 2 |
| C4×#64525 | 2 |
| C19×#476 | 2 |
| #3366 | 19 |