Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 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. #14572729 | C2 | semidirect |
| 3. #14562336 | C2 | semidirect |
| 6. #14561504 | C2 | semidirect |
| 7. C19×#1287 | C2 | semidirect |
| 144. #1287 | D19 | semidirect |
| 229. C19 | #9372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574835 | 2 |
| #14572729 | 2 |
| #14562336 | 2 |
| #14562269 | 2 |
| #14562035 | 2 |
| #14561504 | 2 |
| C19×#1287 | 2 |
| #9372 | 19 |