Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
570 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14562206 | C2 | semidirect |
| 4. #14561513 | C2 | semidirect |
| 11. #11926483 | C4 | semidirect |
| 12. #11926480 | C4 | semidirect |
| 13. #11926464 | C4 | semidirect |
| 14. #11926456 | C4 | semidirect |
| 256. C19 | #9383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572659 | 2 |
| #14568811 | 2 |
| #14562206 | 2 |
| #14561513 | 2 |
| C19×#1799 | 2 |
| #9383 | 19 |