Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 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. #14566740 | C2 | semidirect |
| 3. #14562261 | C2 | semidirect |
| 6. #14561529 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 10. #11926913 | C4 | semidirect |
| 11. #11926909 | C4 | semidirect |
| 169. #1300 | D19 | semidirect |
| 266. C19 | #9442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574036 | 2 |
| #14566740 | 2 |
| #14562261 | 2 |
| #14562144 | 2 |
| #14562142 | 2 |
| #14561529 | 2 |
| C19×#1300 | 2 |
| #9442 | 19 |