Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
474 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 2. #14562396 | C2 | semidirect |
| 3. #14562232 | C2 | semidirect |
| 4. #14561988 | C2 | semidirect |
| 5. #14561987 | C2 | semidirect |
| 6. #14561922 | C2 | semidirect |
| 7. C19×#1527 | C2 | semidirect |
| 179. #1527 | D19 | semidirect |
| 280. C19 | #9791 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926926 | 2 |
| #14562396 | 2 |
| #14562232 | 2 |
| #14561988 | 2 |
| #14561987 | 2 |
| #14561922 | 2 |
| C19×#1527 | 2 |
| #9791 | 19 |