Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
416 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #14564480 | C2 | semidirect |
| 5. #14561545 | C2 | semidirect |
| 6. #14561506 | C2 | semidirect |
| 7. C19×#1556 | C2 | semidirect |
| 167. #1556 | D19 | semidirect |
| 268. C19 | #9339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574865 | 2 |
| #14572807 | 2 |
| #14564480 | 2 |
| #14562243 | 2 |
| #14561545 | 2 |
| #14561506 | 2 |
| C19×#1556 | 2 |
| #9339 | 19 |