Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927101 | C2 | semidirect |
| 3. #11926886 | C2 | semidirect |
| 4. #11926840 | C2 | semidirect |
| 5. #11926835 | C2 | semidirect |
| 6. #11926755 | C2 | semidirect |
| 7. #11926750 | C2 | semidirect |
| 9. #11926652 | C2 | semidirect |
| 10. #11926646 | C2 | semidirect |
| 11. C19×#432 | C2 | semidirect |
| 142. #432 | D19 | semidirect |
| 179. C19 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C4×#64541 | 2 |
| #11926886 | 2 |
| #11926840 | 2 |
| #11926835 | 2 |
| #11926755 | 2 |
| #11926750 | 2 |
| #11926708 | 2 |
| #11926652 | 2 |
| #11926646 | 2 |
| C19×#432 | 2 |
| #3116 | 19 |