Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11926896 | C2 | semidirect |
| 4. #11926881 | C2 | semidirect |
| 5. #11926786 | C2 | semidirect |
| 6. #11926755 | C2 | semidirect |
| 7. #11926701 | C2 | semidirect |
| 8. C4×#64528 | C2 | semidirect |
| 10. #103×D19 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 90. D76 | Q16 | semidirect |
| 123. #477 | D19 | semidirect |
| 163. C19 | #3299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927255 | 2 |
| Q8×D76 | 2 |
| #11926896 | 2 |
| #11926881 | 2 |
| #11926786 | 2 |
| #11926755 | 2 |
| #11926701 | 2 |
| C4×#64528 | 2 |
| #11926609 | 2 |
| #103×D19 | 2 |
| C19×#477 | 2 |
| #3299 | 19 |