Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11926568 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926528 | C2 | semidirect |
| 5. #11926526 | C2 | semidirect |
| 6. C19⋊#338 | C2 | semidirect |
| 7. C2×C19×#104 | C2 | semidirect |
| 120. C2×#104 | D19 | semidirect |
| 151. C19 | #2050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927342 | 2 |
| #11926568 | 2 |
| C2×#10597262 | 2 |
| #11926528 | 2 |
| #11926526 | 2 |
| C19⋊#338 | 2 |
| C2×C19×#104 | 2 |
| #2050 | 19 |