Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 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. #11927156 | C2 | semidirect |
| 2. #11926943 | C2 | semidirect |
| 3. #11926916 | C2 | semidirect |
| 4. #11926914 | C2 | semidirect |
| 5. #11926908 | C2 | semidirect |
| 6. #11926788 | C2 | semidirect |
| 7. #11926771 | C2 | semidirect |
| 8. #11926644 | C2 | semidirect |
| 9. C4×#64526 | C2 | semidirect |
| 10. #11926500 | C2 | semidirect |
| 147. C19 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927156 | 2 |
| #11926943 | 2 |
| #11926916 | 2 |
| #11926914 | 2 |
| #11926908 | 2 |
| #11926788 | 2 |
| #11926771 | 2 |
| #11926644 | 2 |
| C4×#64526 | 2 |
| #11926500 | 2 |
| C19×#540 | 2 |
| #3174 | 19 |