Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
358 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11926940 | C2 | semidirect |
| 3. #11926923 | C2 | semidirect |
| 4. #11926896 | C2 | semidirect |
| 5. #11926894 | C2 | semidirect |
| 7. #11926649 | C2 | semidirect |
| 139. C19 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926940 | 2 |
| #11926923 | 2 |
| #11926896 | 2 |
| #11926894 | 2 |
| #11926800 | 2 |
| #11926649 | 2 |
| C4×#64520 | 2 |
| C19×#533 | 2 |
| #3185 | 19 |