Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
644 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 644 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. #14563571 | C2 | semidirect |
| 3. #14563558 | C2 | semidirect |
| 5. #14561540 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 11. #11926699 | C4 | semidirect |
| 13. #11926682 | C4 | semidirect |
| 338. C19 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572868 | 2 |
| #14563571 | 2 |
| #14563558 | 2 |
| #14562178 | 2 |
| #14561540 | 2 |
| #14561512 | 2 |
| C19×#2976 | 2 |
| #9519 | 19 |