Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
566 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14568802 | C2 | semidirect |
| 3. #14564555 | C2 | semidirect |
| 4. #14562237 | C2 | semidirect |
| 5. #14562077 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 7. C19×#3234 | C2 | semidirect |
| 184. #3234 | D19 | semidirect |
| 299. C19 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573722 | 2 |
| #14568802 | 2 |
| #14564555 | 2 |
| #14562237 | 2 |
| #14562077 | 2 |
| #14561492 | 2 |
| C19×#3234 | 2 |
| #10005 | 19 |