Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
278 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11927170 | C2 | semidirect |
| 4. #11926311 | C2 | semidirect |
| 5. #11926310 | C2 | semidirect |
| 6. #11926310 | C2 | semidirect |
| 21. C24×C19 | Q8 | semidirect |
| 31. C22×C4×C19 | Q8 | semidirect |
| 138. C19 | #2032 | semidirect |
| 139. C24 | Dic38 | semidirect |
| 154. C22×C4 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927170 | 2 |
| C2×#10597291 | 2 |
| #11926311 | 2 |
| #11926310 | 2 |
| C2×C19×#99 | 2 |
| #2032 | 19 |