Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
446 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14561528 | C2 | semidirect |
| 5. #14561501 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#1300 | C2 | semidirect |
| 168. #1300 | D19 | semidirect |
| 264. C19 | #8773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566576 | 2 |
| C4×#10597280 | 2 |
| #14561975 | 2 |
| #14561528 | 2 |
| #14561501 | 2 |
| #14561500 | 2 |
| C19×#1300 | 2 |
| #8773 | 19 |