Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
390 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 390 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 |
|---|---|---|
| 3. #14562186 | C2 | semidirect |
| 4. #14562056 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 26. C19×#501 | C4 | semidirect |
| 27. C19×#501 | C4 | semidirect |
| 28. C19×#489 | C4 | semidirect |
| 29. C19×#489 | C4 | semidirect |
| 194. #501 | Dic19 | semidirect |
| 195. #501 | Dic19 | semidirect |
| 196. #489 | Dic19 | semidirect |
| 197. #489 | Dic19 | semidirect |
| 277. C19 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572622 | 2 |
| #14562212 | 2 |
| #14562186 | 2 |
| #14562056 | 2 |
| #14561501 | 2 |
| #14561496 | 2 |
| C19×#3240 | 2 |
| #9369 | 19 |