Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
704 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 704 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. #14572081 | C2 | semidirect |
| 3. #14563573 | C2 | semidirect |
| 4. #14561995 | C2 | semidirect |
| 5. #14561541 | C2 | semidirect |
| 6. #14561523 | C2 | semidirect |
| 7. C19×#1519 | C2 | semidirect |
| 9. C2×#10597378 | C4 | semidirect |
| 10. C2×#10597378 | C4 | semidirect |
| 16. #11926543 | C4 | semidirect |
| 17. #11926543 | C4 | semidirect |
| 240. #1519 | D19 | semidirect |
| 369. C19 | #9347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572885 | 2 |
| #14572081 | 2 |
| #14563573 | 2 |
| #14561995 | 2 |
| #14561541 | 2 |
| #14561523 | 2 |
| C19×#1519 | 2 |
| #9347 | 19 |