Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
852 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 852 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14574441 | C2 | semidirect |
| 2. C2×#11926695 | C2 | semidirect |
| 3. #14563556 | C2 | semidirect |
| 4. #14561998 | C2 | semidirect |
| 5. #14561995 | C2 | semidirect |
| 6. #14561523 | C2 | semidirect |
| 310. C19 | #9987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574441 | 2 |
| C2×#11926695 | 2 |
| #14563556 | 2 |
| #14561998 | 2 |
| #14561995 | 2 |
| #14561523 | 2 |
| C2×C19×#447 | 2 |
| #9987 | 19 |