Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11926945 | C2 | semidirect |
| 3. #11926922 | C2 | semidirect |
| 4. #11926911 | C2 | semidirect |
| 8. #11926649 | C2 | semidirect |
| 9. C4×Dic76 | C2 | semidirect |
| 11. C4×Q16×C19 | C2 | semidirect |
| 117. C4×Q16 | D19 | semidirect |
| 150. C19 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927152 | 2 |
| #11926945 | 2 |
| #11926922 | 2 |
| #11926911 | 2 |
| #11926801 | 2 |
| #11926786 | 2 |
| #11926782 | 2 |
| #11926649 | 2 |
| C4×Dic76 | 2 |
| #11926498 | 2 |
| C4×Q16×C19 | 2 |
| #3177 | 19 |