Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
442 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #14572711 | C2 | semidirect |
| 2. #14562330 | C2 | semidirect |
| 3. #14562270 | C2 | semidirect |
| 4. #14562034 | C2 | semidirect |
| 5. #14561504 | C2 | semidirect |
| 6. #14561496 | C2 | semidirect |
| 243. C19 | #9371 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572711 | 2 |
| #14562330 | 2 |
| #14562270 | 2 |
| #14562034 | 2 |
| #14561504 | 2 |
| #14561496 | 2 |
| C19×#3214 | 2 |
| #9371 | 19 |