Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11926913 | C2 | semidirect |
| 3. #11926904 | C2 | semidirect |
| 4. #11926903 | C2 | semidirect |
| 5. #11926285 | C2 | semidirect |
| 6. #11926283 | C2 | semidirect |
| 7. C19×#329 | C2 | semidirect |
| 98. #329 | D19 | semidirect |
| 123. C19 | #1662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927288 | 2 |
| #11926913 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926285 | 2 |
| #11926283 | 2 |
| C19×#329 | 2 |
| #1662 | 19 |