Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
792 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14569365 | C2 | semidirect |
| 3. #14564472 | C2 | semidirect |
| 4. #14563578 | C2 | semidirect |
| 5. #14562155 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#3193 | C2 | semidirect |
| 226. #3193 | D19 | semidirect |
| 355. C19 | #9931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572885 | 2 |
| #14569365 | 2 |
| #14564472 | 2 |
| #14563578 | 2 |
| #14562155 | 2 |
| #14561540 | 2 |
| C19×#3193 | 2 |
| #9931 | 19 |