Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
504 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 504 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. #14572691 | C2 | semidirect |
| 3. C2×#11926277 | C2 | semidirect |
| 4. #14561996 | C2 | semidirect |
| 5. #14561522 | C2 | semidirect |
| 6. #14561478 | C2 | semidirect |
| 7. C19×#1504 | C2 | semidirect |
| 9. #11926877 | C4 | semidirect |
| 11. #11926860 | C4 | semidirect |
| 14. #11926694 | C4 | semidirect |
| 16. #11926677 | C4 | semidirect |
| 205. #1504 | D19 | semidirect |
| 333. C19 | #9264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574396 | 2 |
| #14572691 | 2 |
| C2×#11926277 | 2 |
| #14561996 | 2 |
| #14561522 | 2 |
| #14561478 | 2 |
| C19×#1504 | 2 |
| #9264 | 19 |