Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
402 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14572741 | C2 | semidirect |
| 3. #14562186 | C2 | semidirect |
| 5. #14561507 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 20. C19×#500 | C4 | semidirect |
| 21. C19×#492 | C4 | semidirect |
| 22. C19×#487 | C4 | semidirect |
| 23. C19×#486 | C4 | semidirect |
| 160. #500 | Dic19 | semidirect |
| 161. #492 | Dic19 | semidirect |
| 162. #487 | Dic19 | semidirect |
| 163. #486 | Dic19 | semidirect |
| 222. C19 | #9418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572741 | 2 |
| #14562270 | 2 |
| #14562186 | 2 |
| #14562182 | 2 |
| #14561507 | 2 |
| #14561500 | 2 |
| C19×#3182 | 2 |
| #9418 | 19 |