Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
584 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14563702 | C2 | semidirect |
| 3. #14563614 | C2 | semidirect |
| 4. #14561459 | C2 | semidirect |
| 5. #14561457 | C2 | semidirect |
| 6. #14561456 | C2 | semidirect |
| 7. C19×#1270 | C2 | semidirect |
| 192. #1270 | D19 | semidirect |
| 290. C19 | #7647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566151 | 2 |
| #14563702 | 2 |
| #14563614 | 2 |
| #14561459 | 2 |
| #14561457 | 2 |
| #14561456 | 2 |
| C19×#1270 | 2 |
| #7647 | 19 |