Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #11926839 | C2 | semidirect |
| 3. #11926836 | C2 | semidirect |
| 5. #11926754 | C2 | semidirect |
| 6. #11926751 | C2 | semidirect |
| 72. C2×C4×C19 | Q16 | semidirect |
| 137. C19 | #3249 | semidirect |
| 182. C2×C4 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926839 | 2 |
| #11926836 | 2 |
| #11926783 | 2 |
| #11926754 | 2 |
| #11926751 | 2 |
| C2×C4⋊(C19⋊C8) | 2 |
| C19×#533 | 2 |
| #3249 | 19 |