Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927251 | C2 | semidirect |
| 2. #11927214 | C2 | semidirect |
| 3. #11926907 | C2 | semidirect |
| 4. #11926890 | C2 | semidirect |
| 5. #11926846 | C2 | semidirect |
| 6. #11926835 | C2 | semidirect |
| 7. #11926737 | C2 | semidirect |
| 8. #11926671 | C2 | semidirect |
| 9. #11926656 | C2 | semidirect |
| 10. C4×#64525 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 82. D4×C19 | #41 | semidirect |
| 131. #459 | D19 | semidirect |
| 170. C19 | #3366 | semidirect |
| 218. D4 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927251 | 2 |
| #11927214 | 2 |
| #11926907 | 2 |
| #11926890 | 2 |
| #11926846 | 2 |
| #11926835 | 2 |
| #11926737 | 2 |
| #11926671 | 2 |
| #11926656 | 2 |
| C4×#64525 | 2 |
| C19×#459 | 2 |
| #3366 | 19 |