Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
562 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#11926863 | C2 | semidirect |
| 3. C2×#11926858 | C2 | semidirect |
| 4. #14563713 | C2 | semidirect |
| 5. #14561994 | C2 | semidirect |
| 6. #14561994 | C2 | semidirect |
| 7. C19×#1298 | C2 | semidirect |
| 175. #1298 | D19 | semidirect |
| 277. C19 | #9992 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574435 | 2 |
| C2×#11926863 | 2 |
| C2×#11926858 | 2 |
| #14563713 | 2 |
| #14561994 | 2 |
| C19×#1298 | 2 |
| #9992 | 19 |