Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
480 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. #14566381 | C2 | semidirect |
| 4. #14562321 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 10. #11926942 | C4 | semidirect |
| 11. #11926891 | C4 | semidirect |
| 160. #1286 | D19 | semidirect |
| 248. C19 | #9302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574765 | 2 |
| #14566381 | 2 |
| #14564466 | 2 |
| #14562321 | 2 |
| #14562194 | 2 |
| #14561463 | 2 |
| C19×#1286 | 2 |
| #9302 | 19 |