Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. C2×#10597316 | C2 | semidirect |
| 2. #11926950 | C2 | semidirect |
| 3. #11926908 | C2 | semidirect |
| 4. #11926860 | C2 | semidirect |
| 5. #11926855 | C2 | semidirect |
| 6. #11926844 | C2 | semidirect |
| 7. #11926601 | C2 | semidirect |
| 139. C19 | #3234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597316 | 2 |
| #11926950 | 2 |
| #11926908 | 2 |
| #11926860 | 2 |
| #11926855 | 2 |
| #11926844 | 2 |
| #11926601 | 2 |
| C19×#532 | 2 |
| #3234 | 19 |