Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #11927267 | C2 | semidirect |
| 2. #11926906 | C2 | semidirect |
| 3. #11926896 | C2 | semidirect |
| 4. #11926836 | C2 | semidirect |
| 5. #11926821 | C2 | semidirect |
| 7. #11926749 | C2 | semidirect |
| 8. #11926675 | C2 | semidirect |
| 9. #11926644 | C2 | semidirect |
| 11. D4×Q8×C19 | C2 | semidirect |
| 119. D4×Q8 | D19 | semidirect |
| 163. C19 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927267 | 2 |
| #11926906 | 2 |
| #11926896 | 2 |
| #11926836 | 2 |
| #11926821 | 2 |
| #11926759 | 2 |
| #11926749 | 2 |
| #11926675 | 2 |
| #11926644 | 2 |
| C4×#64525 | 2 |
| D4×Q8×C19 | 2 |
| #3367 | 19 |