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. #14562352 | C2 | semidirect |
| 5. #14561546 | C2 | semidirect |
| 6. #14561507 | C2 | semidirect |
| 7. C19×#1966 | C2 | semidirect |
| 166. #1966 | 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 |
| #14572802 | 2 |
| #14562352 | 2 |
| #14562240 | 2 |
| #14561546 | 2 |
| #14561507 | 2 |
| C19×#1966 | 2 |
| #9339 | 19 |