Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #11926948 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 7. #11926840 | C2 | semidirect |
| 8. #11926839 | C2 | semidirect |
| 9. #11926836 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 134. #477 | D19 | semidirect |
| 171. C19 | #3230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927098 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926948 | 2 |
| #11926893 | 2 |
| #11926881 | 2 |
| #11926878 | 2 |
| #11926840 | 2 |
| #11926839 | 2 |
| #11926836 | 2 |
| #11926596 | 2 |
| C19×#477 | 2 |
| #3230 | 19 |