Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #14562273 | 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 |
| 164. #500 | Dic19 | semidirect |
| 165. #492 | Dic19 | semidirect |
| 166. #487 | Dic19 | semidirect |
| 167. #486 | Dic19 | semidirect |
| 226. C19 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572706 | 2 |
| #14562273 | 2 |
| #14562186 | 2 |
| #14562182 | 2 |
| #14561507 | 2 |
| #14561500 | 2 |
| C19×#3182 | 2 |
| #9415 | 19 |