Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
544 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14563712 | C2 | semidirect |
| 4. #14562168 | C2 | semidirect |
| 6. #14561544 | C2 | semidirect |
| 7. C19×#3095 | C2 | semidirect |
| 180. #3095 | D19 | semidirect |
| 294. C19 | #9984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573575 | 2 |
| #14571662 | 2 |
| #14563712 | 2 |
| #14562168 | 2 |
| #14562165 | 2 |
| #14561544 | 2 |
| C19×#3095 | 2 |
| #9984 | 19 |