Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#10597361 | C2 | semidirect |
| 3. C2×Q16×D19 | C2 | semidirect |
| 4. #11927114 | C2 | semidirect |
| 5. #11926939 | C2 | semidirect |
| 6. #11926935 | C2 | semidirect |
| 7. #11926927 | C2 | semidirect |
| 8. #11926924 | C2 | semidirect |
| 9. #11926922 | C2 | semidirect |
| 10. #11926498 | C2 | semidirect |
| 11. C19×#495 | C2 | semidirect |
| 125. #495 | D19 | semidirect |
| 161. C19 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597361 | 2 |
| C2×#10597358 | 2 |
| C2×Q16×D19 | 2 |
| #11927114 | 2 |
| #11926939 | 2 |
| #11926935 | 2 |
| #11926927 | 2 |
| #11926924 | 2 |
| #11926922 | 2 |
| #11926498 | 2 |
| C19×#495 | 2 |
| #3156 | 19 |