Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #11926895 | C2 | semidirect |
| 4. #11926880 | C2 | semidirect |
| 5. #11926840 | C2 | semidirect |
| 6. #11926785 | C2 | semidirect |
| 7. #11926755 | C2 | semidirect |
| 8. #11926702 | C2 | semidirect |
| 9. C4×Dic76 | C2 | semidirect |
| 10. C2×#10597273 | C2 | semidirect |
| 77. D4×C19 | Q16 | semidirect |
| 163. C19 | #3299 | semidirect |
| 208. D4 | Dic76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927251 | 2 |
| D4×Dic38 | 2 |
| #11926895 | 2 |
| #11926880 | 2 |
| #11926840 | 2 |
| #11926785 | 2 |
| #11926755 | 2 |
| #11926702 | 2 |
| C4×Dic76 | 2 |
| C2×#10597273 | 2 |
| C8×D4×C19 | 2 |
| #3299 | 19 |