Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #11927273 | C2 | semidirect |
| 3. #11926900 | C2 | semidirect |
| 5. #11926847 | C2 | semidirect |
| 6. #11926829 | C2 | semidirect |
| 7. #11926768 | C2 | semidirect |
| 9. C8×Dic38 | C2 | semidirect |
| 10. #11926629 | C2 | semidirect |
| 11. C4×Q16×C19 | C2 | semidirect |
| 123. C4×Q16 | D19 | semidirect |
| 158. C19 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927279 | 2 |
| #11927273 | 2 |
| #11926900 | 2 |
| #11926891 | 2 |
| #11926847 | 2 |
| #11926829 | 2 |
| #11926768 | 2 |
| #11926744 | 2 |
| C8×Dic38 | 2 |
| #11926629 | 2 |
| C4×Q16×C19 | 2 |
| #3365 | 19 |