Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14566441 | C2 | semidirect |
| 3. #14562237 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 25. C19×#501 | C4 | semidirect |
| 26. C19×#490 | C4 | semidirect |
| 201. #501 | Dic19 | semidirect |
| 202. #490 | Dic19 | semidirect |
| 276. C19 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566441 | 2 |
| #14564555 | 2 |
| #14562237 | 2 |
| #14562182 | 2 |
| #14561501 | 2 |
| #14561490 | 2 |
| C19×#3234 | 2 |
| #9382 | 19 |