Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
498 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14572774 | C2 | semidirect |
| 3. #14564562 | C2 | semidirect |
| 4. #14562348 | C2 | semidirect |
| 5. #14561504 | C2 | semidirect |
| 6. #14561491 | C2 | semidirect |
| 7. C19×#1509 | C2 | semidirect |
| 9. #11926934 | C4 | semidirect |
| 10. #11926910 | C4 | semidirect |
| 187. #1509 | D19 | semidirect |
| 297. C19 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574650 | 2 |
| #14572774 | 2 |
| #14564562 | 2 |
| #14562348 | 2 |
| #14561504 | 2 |
| #14561491 | 2 |
| C19×#1509 | 2 |
| #9378 | 19 |