Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 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. #11926949 | C2 | semidirect |
| 4. #11926755 | C2 | semidirect |
| 5. #11926291 | C2 | semidirect |
| 6. #11926276 | C2 | semidirect |
| 52. D4×C19 | Q16 | semidirect |
| 117. C19 | #1649 | semidirect |
| 152. D4 | Dic76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic38 | 2 |
| #11926949 | 2 |
| #11926824 | 2 |
| #11926755 | 2 |
| #11926291 | 2 |
| #11926276 | 2 |
| C19×D4⋊C8 | 2 |
| #1649 | 19 |