Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
824 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 824 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14569110 | C2 | semidirect |
| 3. #14566966 | C2 | semidirect |
| 4. #14562165 | C2 | semidirect |
| 5. #14561964 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1789 | C2 | semidirect |
| 227. #1789 | D19 | semidirect |
| 347. C19 | #9939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572887 | 2 |
| #14569110 | 2 |
| #14566966 | 2 |
| #14562165 | 2 |
| #14561964 | 2 |
| #14561488 | 2 |
| C19×#1789 | 2 |
| #9939 | 19 |