Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
424 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #14572622 | C2 | semidirect |
| 2. #14562212 | C2 | semidirect |
| 3. #14562182 | C2 | semidirect |
| 4. #14562052 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 26. C19×#497 | C4 | semidirect |
| 27. C19×#496 | C4 | semidirect |
| 28. C19×#491 | C4 | semidirect |
| 29. C19×#490 | C4 | semidirect |
| 208. #497 | Dic19 | semidirect |
| 209. #496 | Dic19 | semidirect |
| 210. #491 | Dic19 | semidirect |
| 211. #490 | Dic19 | semidirect |
| 292. C19 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572622 | 2 |
| #14562212 | 2 |
| #14562182 | 2 |
| #14562052 | 2 |
| #14561501 | 2 |
| #14561496 | 2 |
| C19×#3219 | 2 |
| #9370 | 19 |