Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
500 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 4. #14561461 | C2 | semidirect |
| 5. #14561460 | C2 | semidirect |
| 6. #14561460 | C2 | semidirect |
| 7. C19×#1272 | C2 | semidirect |
| 180. #1272 | D19 | semidirect |
| 269. C19 | #7707 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571984 | 2 |
| #14563702 | 2 |
| #14563396 | 2 |
| #14561461 | 2 |
| #14561460 | 2 |
| C19×#1272 | 2 |
| #7707 | 19 |