Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 438 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. #14572629 | C2 | semidirect |
| 3. #14562253 | C2 | semidirect |
| 4. #14561987 | C2 | semidirect |
| 5. #14561534 | C2 | semidirect |
| 6. #14561480 | C2 | semidirect |
| 7. C2×C19×#329 | C2 | semidirect |
| 186. C2×#329 | D19 | semidirect |
| 300. C19 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574600 | 2 |
| #14572629 | 2 |
| #14562253 | 2 |
| #14561987 | 2 |
| #14561534 | 2 |
| #14561480 | 2 |
| C2×C19×#329 | 2 |
| #9265 | 19 |