Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#64541 | C2 | semidirect |
| 3. #11926562 | C2 | semidirect |
| 4. C2×#10597262 | C2 | semidirect |
| 5. #11926517 | C2 | semidirect |
| 6. #11926316 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 17. #10597355 | C4 | semidirect |
| 19. #10597354 | C4 | semidirect |
| 41. C2×D76 | C2×C4 | semidirect |
| 46. C2×Dic38 | C2×C4 | semidirect |
| 49. M16×C19 | C2×C4 | semidirect |
| 130. #339 | D19 | semidirect |
| 158. C19 | #1906 | semidirect |
| 185. M16 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927344 | 2 |
| C4×#64541 | 2 |
| #11926562 | 2 |
| C2×#10597262 | 2 |
| #11926517 | 2 |
| #11926316 | 2 |
| C19×#339 | 2 |
| #1906 | 19 |