Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
414 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14564616 | C2 | semidirect |
| 4. #14562109 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561526 | C2 | semidirect |
| 9. #11926954 | C4 | semidirect |
| 10. #11926939 | C4 | semidirect |
| 11. #11926914 | C4 | semidirect |
| 12. #11926903 | C4 | semidirect |
| 286. C19 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574242 | 2 |
| #14572805 | 2 |
| #14564616 | 2 |
| #14562109 | 2 |
| #14561528 | 2 |
| #14561526 | 2 |
| C19×#1500 | 2 |
| #8998 | 19 |