Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 438 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. #14562168 | C2 | semidirect |
| 4. #14561999 | C2 | semidirect |
| 5. #14561544 | C2 | semidirect |
| 6. #14561511 | C2 | semidirect |
| 27. C19×#484 | C4 | semidirect |
| 28. C19×#481 | C4 | semidirect |
| 32. C19×#451 | C4 | semidirect |
| 33. C19×#448 | C4 | semidirect |
| 220. #484 | Dic19 | semidirect |
| 221. #481 | Dic19 | semidirect |
| 225. #451 | Dic19 | semidirect |
| 226. #448 | Dic19 | semidirect |
| 304. C19 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572697 | 2 |
| #14562191 | 2 |
| #14562168 | 2 |
| #14561999 | 2 |
| #14561544 | 2 |
| #14561511 | 2 |
| C19×#3196 | 2 |
| #9331 | 19 |