Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 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. #11927099 | C2 | semidirect |
| 3. #11926900 | C2 | semidirect |
| 4. #11926894 | C2 | semidirect |
| 5. #11926892 | C2 | semidirect |
| 6. #11926891 | C2 | semidirect |
| 7. #11926539 | C2 | semidirect |
| 8. C4×C8×D19 | C2 | semidirect |
| 9. C19×#487 | C2 | semidirect |
| 111. #487 | D19 | semidirect |
| 146. C19 | #3131 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927095 | 2 |
| #11926900 | 2 |
| #11926894 | 2 |
| #11926892 | 2 |
| #11926891 | 2 |
| #11926539 | 2 |
| C4×C8×D19 | 2 |
| C19×#487 | 2 |
| #3131 | 19 |