Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 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. #11927097 | C2 | semidirect |
| 3. #11926902 | C2 | semidirect |
| 4. #11926897 | C2 | semidirect |
| 5. #11926554 | C2 | semidirect |
| 6. #11926552 | C2 | semidirect |
| 8. M16×Dic19 | C2 | semidirect |
| 21. #10597336 | C22 | semidirect |
| 22. #10597334 | C22 | semidirect |
| 27. #10597273 | C22 | semidirect |
| 28. #10597272 | C22 | semidirect |
| 29. C8×Dic19 | C22 | semidirect |
| 30. #10597267 | C22 | semidirect |
| 135. C19 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| C2×#10597382 | 2 |
| #11926902 | 2 |
| #11926897 | 2 |
| #11926554 | 2 |
| #11926552 | 2 |
| #11926549 | 2 |
| M16×Dic19 | 2 |
| C19×#418 | 2 |
| #3140 | 19 |