Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 1. D4×Dic38 | C2 | semidirect |
| 2. #11926896 | C2 | semidirect |
| 3. #11926874 | C2 | semidirect |
| 4. #11926826 | C2 | semidirect |
| 5. #11926771 | C2 | semidirect |
| 6. #11926749 | C2 | semidirect |
| 7. #11926682 | C2 | semidirect |
| 8. C4×#64526 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. C2×#10597267 | C2 | semidirect |
| 83. D4×C19 | SD16 | semidirect |
| 102. Dic38 | #41 | semidirect |
| 169. C19 | #3298 | semidirect |
| 217. D4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic38 | 2 |
| #11926896 | 2 |
| #11926874 | 2 |
| #11926826 | 2 |
| #11926771 | 2 |
| #11926749 | 2 |
| #11926682 | 2 |
| C4×#64526 | 2 |
| D4×C19⋊C8 | 2 |
| C2×#10597267 | 2 |
| C19×#547 | 2 |
| #3298 | 19 |