Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #11926838 | C2 | semidirect |
| 4. #11926836 | C2 | semidirect |
| 7. #11926755 | C2 | semidirect |
| 8. #11926754 | C2 | semidirect |
| 9. #11926753 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 100. C4×D19 | Q16 | semidirect |
| 130. #477 | D19 | semidirect |
| 172. C19 | #3249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927098 | 2 |
| #11926838 | 2 |
| #11926836 | 2 |
| #11926786 | 2 |
| #11926784 | 2 |
| #11926755 | 2 |
| #11926754 | 2 |
| #11926753 | 2 |
| C4⋊C8×D19 | 2 |
| C19×#477 | 2 |
| #3249 | 19 |