Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11927209 | C2 | semidirect |
| 3. #11926873 | C2 | semidirect |
| 4. #11926826 | C2 | semidirect |
| 5. #11926776 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 7. #11926684 | C2 | semidirect |
| 8. C4×#64516 | C2 | semidirect |
| 9. C8×D76 | C2 | semidirect |
| 10. #103×D19 | C2 | semidirect |
| 11. C19×#487 | C2 | semidirect |
| 94. D76 | SD16 | semidirect |
| 102. Dic38 | #41 | semidirect |
| 126. #487 | D19 | semidirect |
| 169. C19 | #3298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927209 | 2 |
| #11927197 | 2 |
| #11926873 | 2 |
| #11926826 | 2 |
| #11926776 | 2 |
| #11926746 | 2 |
| #11926684 | 2 |
| C4×#64516 | 2 |
| C8×D76 | 2 |
| #103×D19 | 2 |
| C19×#487 | 2 |
| #3298 | 19 |