Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14572774 | C2 | semidirect |
| 2. #14564563 | C2 | semidirect |
| 3. #14562349 | C2 | semidirect |
| 4. #14562160 | C2 | semidirect |
| 5. #14561504 | C2 | semidirect |
| 6. #14561490 | C2 | semidirect |
| 26. C19×#496 | C4 | semidirect |
| 27. C19×#490 | C4 | semidirect |
| 218. #496 | Dic19 | semidirect |
| 219. #490 | Dic19 | semidirect |
| 297. C19 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572774 | 2 |
| #14564563 | 2 |
| #14562349 | 2 |
| #14562160 | 2 |
| #14561504 | 2 |
| #14561490 | 2 |
| C19×#3217 | 2 |
| #9378 | 19 |