Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14562147 | C2 | semidirect |
| 4. #14562108 | C2 | semidirect |
| 5. #14561497 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 22. C19×#500 | C4 | semidirect |
| 23. C19×#498 | C4 | semidirect |
| 24. C19×#486 | C4 | semidirect |
| 25. C19×#486 | C4 | semidirect |
| 173. #500 | Dic19 | semidirect |
| 174. #498 | Dic19 | semidirect |
| 175. #486 | Dic19 | semidirect |
| 176. #486 | Dic19 | semidirect |
| 239. C19 | #9279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572711 | 2 |
| #14562147 | 2 |
| #14562143 | 2 |
| #14562108 | 2 |
| #14561497 | 2 |
| #14561463 | 2 |
| C19×#3228 | 2 |
| #9279 | 19 |