Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
234 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 57 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. #11926751 | C2 | semidirect |
| 4. #11926290 | C2 | semidirect |
| 5. #11926276 | C2 | semidirect |
| 7. C19×#500 | C2 | semidirect |
| 64. D76 | Q16 | semidirect |
| 90. #500 | D19 | semidirect |
| 117. C19 | #1649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927209 | 2 |
| #11926821 | 2 |
| #11926751 | 2 |
| #11926290 | 2 |
| #11926276 | 2 |
| #11926273 | 2 |
| C19×#500 | 2 |
| #1649 | 19 |