Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #11927279 | C2 | semidirect |
| 2. #11927251 | C2 | semidirect |
| 3. #11926900 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926843 | C2 | semidirect |
| 6. #11926839 | C2 | semidirect |
| 7. #11926761 | C2 | semidirect |
| 9. C8×Dic38 | C2 | semidirect |
| 10. #11926624 | C2 | semidirect |
| 11. C4×SD16×C19 | C2 | semidirect |
| 127. C4×SD16 | D19 | semidirect |
| 163. C19 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927279 | 2 |
| #11927251 | 2 |
| #11926900 | 2 |
| #11926891 | 2 |
| #11926843 | 2 |
| #11926839 | 2 |
| #11926761 | 2 |
| #11926739 | 2 |
| C8×Dic38 | 2 |
| #11926624 | 2 |
| C4×SD16×C19 | 2 |
| #3361 | 19 |