Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927259 | C2 | semidirect |
| 2. #11927214 | C2 | semidirect |
| 3. #11926890 | C2 | semidirect |
| 4. #11926866 | C2 | semidirect |
| 5. #11926840 | C2 | semidirect |
| 6. #11926777 | C2 | semidirect |
| 7. #11926686 | C2 | semidirect |
| 8. C4×#64526 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #11926537 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 133. #459 | 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 |
|---|---|
| #11927259 | 2 |
| #11927214 | 2 |
| #11926890 | 2 |
| #11926866 | 2 |
| #11926840 | 2 |
| #11926777 | 2 |
| #11926686 | 2 |
| C4×#64526 | 2 |
| #11926609 | 2 |
| #11926537 | 2 |
| C19×#459 | 2 |
| #3305 | 19 |