Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 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. #11927260 | C2 | semidirect |
| 2. #11927216 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926871 | C2 | semidirect |
| 5. #11926781 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926692 | C2 | semidirect |
| 8. C4×#64527 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #11926539 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 131. #477 | D19 | semidirect |
| 173. C19 | #3305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927260 | 2 |
| #11927216 | 2 |
| #11926892 | 2 |
| #11926871 | 2 |
| #11926781 | 2 |
| #11926740 | 2 |
| #11926692 | 2 |
| C4×#64527 | 2 |
| #11926609 | 2 |
| #11926539 | 2 |
| C19×#477 | 2 |
| #3305 | 19 |