Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
852 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 852 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14574442 | C2 | semidirect |
| 2. C2×#11926695 | C2 | semidirect |
| 4. #14562000 | C2 | semidirect |
| 5. #14561996 | C2 | semidirect |
| 6. #14561522 | C2 | semidirect |
| 7. C19×#1783 | C2 | semidirect |
| 198. #1783 | D19 | semidirect |
| 310. C19 | #9987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574442 | 2 |
| C2×#11926695 | 2 |
| C2×#11926678 | 2 |
| #14562000 | 2 |
| #14561996 | 2 |
| #14561522 | 2 |
| C19×#1783 | 2 |
| #9987 | 19 |