Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
514 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #14562230 | C2 | semidirect |
| 5. #14561524 | C2 | semidirect |
| 6. #14561472 | C2 | semidirect |
| 7. C19×#1493 | C2 | semidirect |
| 180. #1493 | D19 | semidirect |
| 285. C19 | #9212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573700 | 2 |
| C4×#10597347 | 2 |
| #14562230 | 2 |
| #14562072 | 2 |
| #14561524 | 2 |
| #14561472 | 2 |
| C19×#1493 | 2 |
| #9212 | 19 |