Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. Q32×D19 | C2 | semidirect |
| 3. Dic304 | C2 | semidirect |
| 4. #11926384 | C2 | semidirect |
| 5. #11926382 | C2 | semidirect |
| 6. #11926377 | C2 | semidirect |
| 7. C19×SD64 | C2 | semidirect |
| 54. SD64 | D19 | semidirect |
| 70. C19 | #2264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926973 | 2 |
| Q32×D19 | 2 |
| Dic304 | 2 |
| #11926384 | 2 |
| #11926382 | 2 |
| #11926377 | 2 |
| C19×SD64 | 2 |
| #2264 | 19 |