Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
514 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 514 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 |
|---|---|---|
| 2. #14572765 | C2 | semidirect |
| 3. C4×#10597262 | C2 | semidirect |
| 4. #14562052 | C2 | semidirect |
| 5. #14561524 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 7. C19×#1962 | C2 | semidirect |
| 10. #11926836 | C4 | semidirect |
| 11. #11926831 | C4 | semidirect |
| 12. #11926741 | C4 | semidirect |
| 13. #11926736 | C4 | semidirect |
| 180. Dic38 | #104 | semidirect |
| 189. #1962 | D19 | semidirect |
| 299. C19 | #8970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573689 | 2 |
| #14572765 | 2 |
| C4×#10597262 | 2 |
| #14562052 | 2 |
| #14561524 | 2 |
| #14561468 | 2 |
| C19×#1962 | 2 |
| #8970 | 19 |