Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
426 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 4. #14561537 | C2 | semidirect |
| 5. #14561536 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 143. #1286 | D19 | semidirect |
| 220. C19 | #8770 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566610 | 2 |
| #14563624 | 2 |
| #14561955 | 2 |
| #14561537 | 2 |
| #14561536 | 2 |
| #14561493 | 2 |
| C19×#1286 | 2 |
| #8770 | 19 |