Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #11927165 | C2 | semidirect |
| 2. #11926942 | C2 | semidirect |
| 3. #11926928 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926802 | C2 | semidirect |
| 7. #11926773 | C2 | semidirect |
| 8. #11926657 | C2 | semidirect |
| 9. #11926652 | C2 | semidirect |
| 10. C4×#64516 | C2 | semidirect |
| 11. C19×#405 | C2 | semidirect |
| 116. #405 | D19 | semidirect |
| 148. C19 | #3173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927165 | 2 |
| #11926942 | 2 |
| #11926928 | 2 |
| #11926904 | 2 |
| #11926802 | 2 |
| #11926797 | 2 |
| #11926773 | 2 |
| #11926657 | 2 |
| #11926652 | 2 |
| C4×#64516 | 2 |
| C19×#405 | 2 |
| #3173 | 19 |