Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
344 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 83 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. #11927021 | C2 | semidirect |
| 4. C2×#10597281 | C2 | semidirect |
| 5. #11926305 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 14. #10597382 | C4 | semidirect |
| 130. C19 | #1888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597382 | 2 |
| #11927021 | 2 |
| #11926549 | 2 |
| C2×#10597281 | 2 |
| #11926305 | 2 |
| #11926303 | 2 |
| C19×#418 | 2 |
| #1888 | 19 |