Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
570 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 570 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14562208 | C2 | semidirect |
| 4. #14561515 | C2 | semidirect |
| 8. #11926483 | C4 | semidirect |
| 9. #11926480 | C4 | semidirect |
| 10. #11926464 | C4 | semidirect |
| 11. #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 |
|---|---|
| #14568811 | 2 |
| #14563623 | 2 |
| #14562208 | 2 |
| #14561515 | 2 |
| C19×#2972 | 2 |
| #9383 | 19 |