Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
820 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14564104 | C2 | semidirect |
| 3. #14564096 | C2 | semidirect |
| 4. #14563930 | C2 | semidirect |
| 5. #14561994 | C2 | semidirect |
| 6. #14561971 | C2 | semidirect |
| 7. C19×#1472 | C2 | semidirect |
| 270. #1472 | D19 | semidirect |
| 419. C19 | #8538 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14577476 | 2 |
| #14564104 | 2 |
| #14564096 | 2 |
| #14563930 | 2 |
| #14561994 | 2 |
| #14561971 | 2 |
| C19×#1472 | 2 |
| #8538 | 19 |