Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
254 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11926858 | C2 | semidirect |
| 3. #11926855 | C2 | semidirect |
| 4. #11926476 | C2 | semidirect |
| 5. #11926277 | C2 | semidirect |
| 6. #11926269 | C2 | semidirect |
| 7. C19×#327 | C2 | semidirect |
| 114. #327 | D19 | semidirect |
| 142. C19 | #1610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927121 | 2 |
| #11926858 | 2 |
| #11926855 | 2 |
| #11926476 | 2 |
| #11926277 | 2 |
| #11926269 | 2 |
| C19×#327 | 2 |
| #1610 | 19 |