Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 1. #14563386 | C2 | semidirect |
| 2. #14562398 | C2 | semidirect |
| 3. #14562246 | C2 | semidirect |
| 4. #14562143 | C2 | semidirect |
| 16. C19×#500 | C4 | semidirect |
| 17. C19×#493 | C4 | semidirect |
| 18. C19×#486 | C4 | semidirect |
| 139. #500 | Dic19 | semidirect |
| 140. #493 | Dic19 | semidirect |
| 141. #486 | Dic19 | semidirect |
| 191. C19 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563386 | 2 |
| #14562398 | 2 |
| #14562246 | 2 |
| #14562143 | 2 |
| C19×#3169 | 2 |
| #9764 | 19 |