Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
468 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #14563732 | C2 | semidirect |
| 4. #14563704 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C19×#1298 | C2 | semidirect |
| 11. #11926880 | C4 | semidirect |
| 12. #11926875 | C4 | semidirect |
| 14. #11926863 | C4 | semidirect |
| 15. #11926858 | C4 | semidirect |
| 200. #1298 | D19 | semidirect |
| 317. C19 | #9038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573550 | 2 |
| #14572685 | 2 |
| #14563732 | 2 |
| #14563704 | 2 |
| #14562127 | 2 |
| #14561481 | 2 |
| C19×#1298 | 2 |
| #9038 | 19 |