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×#10597364 | C2 | semidirect |
| 3. C2×Q16×D19 | C2 | semidirect |
| 4. #11927119 | C2 | semidirect |
| 5. #11926937 | C2 | semidirect |
| 6. #11926936 | C2 | semidirect |
| 7. #11926929 | C2 | semidirect |
| 8. #11926928 | C2 | semidirect |
| 9. #11926922 | C2 | semidirect |
| 10. #11926498 | C2 | semidirect |
| 11. C19×#494 | C2 | semidirect |
| 127. #494 | 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×#10597364 | 2 |
| C2×#10597365 | 2 |
| C2×Q16×D19 | 2 |
| #11927119 | 2 |
| #11926937 | 2 |
| #11926936 | 2 |
| #11926929 | 2 |
| #11926928 | 2 |
| #11926922 | 2 |
| #11926498 | 2 |
| C19×#494 | 2 |
| #3156 | 19 |