Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
558 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14563732 | C2 | semidirect |
| 4. #14561520 | C2 | semidirect |
| 8. #11926483 | C4 | semidirect |
| 9. #11926480 | C4 | semidirect |
| 10. #11926474 | C4 | semidirect |
| 12. #11926469 | C4 | semidirect |
| 246. C19 | #9012 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566894 | 2 |
| #14563732 | 2 |
| C4×#10597291 | 2 |
| #14561520 | 2 |
| C19×#2975 | 2 |
| #9012 | 19 |