Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
640 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14564613 | C2 | semidirect |
| 4. #14562320 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#3230 | C2 | semidirect |
| 154. #3230 | D19 | semidirect |
| 247. C19 | #10292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574573 | 2 |
| #14571993 | 2 |
| #14564613 | 2 |
| #14562320 | 2 |
| #14562302 | 2 |
| #14561467 | 2 |
| C19×#3230 | 2 |
| #10292 | 19 |