Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
380 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 20. C19×#498 | C4 | semidirect |
| 21. C19×#494 | C4 | semidirect |
| 22. C19×#487 | C4 | semidirect |
| 23. C19×#487 | C4 | semidirect |
| 153. #498 | Dic19 | semidirect |
| 154. #494 | Dic19 | semidirect |
| 155. #487 | Dic19 | semidirect |
| 156. #487 | Dic19 | semidirect |
| 214. C19 | #9416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572741 | 2 |
| #14562273 | 2 |
| #14562186 | 2 |
| #14561507 | 2 |
| #14561500 | 2 |
| C19×#3185 | 2 |
| #9416 | 19 |