Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
438 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. #14562167 | C2 | semidirect |
| 4. #14561998 | C2 | semidirect |
| 5. #14561543 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 10. #11926877 | C4 | semidirect |
| 11. #11926860 | C4 | semidirect |
| 15. #11926699 | C4 | semidirect |
| 16. #11926682 | C4 | semidirect |
| 304. C19 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574461 | 2 |
| #14572697 | 2 |
| #14562167 | 2 |
| #14561998 | 2 |
| #14561543 | 2 |
| #14561512 | 2 |
| C19×#1516 | 2 |
| #9331 | 19 |