Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14566383 | C2 | semidirect |
| 3. #14562317 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561464 | C2 | semidirect |
| 9. #11926916 | C4 | semidirect |
| 10. #11926896 | C4 | semidirect |
| 97. C42×C19 | SD16 | semidirect |
| 249. C19 | #9301 | semidirect |
| 291. C42 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574557 | 2 |
| #14566383 | 2 |
| #14562317 | 2 |
| #14562195 | 2 |
| #14561495 | 2 |
| #14561464 | 2 |
| C19×#1963 | 2 |
| #9301 | 19 |