Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
716 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14561964 | C2 | semidirect |
| 5. #14561964 | C2 | semidirect |
| 6. #14561543 | C2 | semidirect |
| 7. C19×#1306 | C2 | semidirect |
| 243. #1306 | D19 | semidirect |
| 363. C19 | #9513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572078 | 2 |
| #14566972 | 2 |
| #14563561 | 2 |
| #14561964 | 2 |
| #14561543 | 2 |
| C19×#1306 | 2 |
| #9513 | 19 |