Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
424 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #11926896 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926894 | C2 | semidirect |
| 6. #11926893 | C2 | semidirect |
| 9. C19×#487 | C2 | semidirect |
| 112. #487 | D19 | direct (N × H) |
| 118. D19 | #487 | direct (N × H) |
| 144. C19 | C2×#487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D19 | 2 |
| #11926896 | 2 |
| #11926895 | 2 |
| #11926894 | 2 |
| #11926893 | 2 |
| #103×D19 | 2 |
| C4×C8×D19 | 2 |
| C19×#487 | 2 |
| C2×#487 | 19 |