Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 2. #14574177 | C2 | semidirect |
| 3. #14562352 | C2 | semidirect |
| 5. #14562146 | C2 | semidirect |
| 6. #14561528 | C2 | semidirect |
| 254. C19 | #10100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574638 | 2 |
| #14574177 | 2 |
| #14562352 | 2 |
| #14562233 | 2 |
| #14562146 | 2 |
| #14561528 | 2 |
| C19×#2640 | 2 |
| #10100 | 19 |