Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11926914 | C2 | semidirect |
| 3. #11926906 | C2 | semidirect |
| 4. #11926901 | C2 | semidirect |
| 5. #11926896 | C2 | semidirect |
| 6. #11926552 | C2 | semidirect |
| 9. C2×#10597267 | C2 | semidirect |
| 10. #11926500 | C2 | semidirect |
| 11. C19×#544 | C2 | semidirect |
| 123. #544 | D19 | semidirect |
| 168. C19 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927120 | 2 |
| #11926914 | 2 |
| #11926906 | 2 |
| #11926901 | 2 |
| #11926896 | 2 |
| #11926552 | 2 |
| #11926543 | 2 |
| #11926538 | 2 |
| C2×#10597267 | 2 |
| #11926500 | 2 |
| C19×#544 | 2 |
| #3137 | 19 |