Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 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. #11927018 | C2 | semidirect |
| 3. #11926560 | C2 | semidirect |
| 4. #11926550 | C2 | semidirect |
| 5. #11926517 | C2 | semidirect |
| 6. #11926301 | C2 | semidirect |
| 7. C19×#344 | C2 | semidirect |
| 17. C2×D152 | C4 | semidirect |
| 18. C2×#64516 | C4 | semidirect |
| 36. C2×D76 | C2×C4 | semidirect |
| 41. C2×Dic38 | C2×C4 | semidirect |
| 47. C2×C8×C19 | C2×C4 | semidirect |
| 115. #344 | D19 | semidirect |
| 140. C19 | #1904 | semidirect |
| 165. C2×C8 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| #11927018 | 2 |
| #11926560 | 2 |
| #11926550 | 2 |
| #11926517 | 2 |
| #11926301 | 2 |
| C19×#344 | 2 |
| #1904 | 19 |