Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
726 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14566220 | C2 | semidirect |
| 3. #14563558 | C2 | semidirect |
| 5. #14561489 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 9. C2×#10597382 | C4 | semidirect |
| 14. #11926449 | C4 | semidirect |
| 282. C19 | #9466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567294 | 2 |
| #14566220 | 2 |
| #14563558 | 2 |
| #14562164 | 2 |
| #14561489 | 2 |
| #14561487 | 2 |
| C19×#1510 | 2 |
| #9466 | 19 |