Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#11926280 | C2 | semidirect |
| 4. #14562000 | C2 | semidirect |
| 5. #14561522 | C2 | semidirect |
| 6. #14561478 | C2 | semidirect |
| 10. #11926872 | C4 | semidirect |
| 11. #11926855 | C4 | semidirect |
| 15. #11926699 | C4 | semidirect |
| 16. #11926682 | C4 | semidirect |
| 321. C19 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574412 | 2 |
| #14572691 | 2 |
| C2×#11926280 | 2 |
| #14562000 | 2 |
| #14561522 | 2 |
| #14561478 | 2 |
| C19×#1504 | 2 |
| #9263 | 19 |