Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
434 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 9. #11926950 | C4 | semidirect |
| 10. #11926950 | C4 | semidirect |
| 256. C19 | #9440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574188 | 2 |
| #14566740 | 2 |
| #14562261 | 2 |
| #14562147 | 2 |
| #14561528 | 2 |
| #14561527 | 2 |
| C19×#1506 | 2 |
| #9440 | 19 |