Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
480 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14561521 | C2 | semidirect |
| 4. #14561487 | C2 | semidirect |
| 16. C19×#383 | C4 | semidirect |
| 18. C19×#380 | C4 | semidirect |
| 21. C19×#376 | C4 | semidirect |
| 22. C2×C19×#95 | C4 | semidirect |
| 178. #383 | Dic19 | semidirect |
| 180. #380 | Dic19 | semidirect |
| 184. #376 | Dic19 | semidirect |
| 185. C2×#95 | Dic19 | semidirect |
| 228. C19 | #8777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10597291 | 2 |
| #14561973 | 2 |
| #14561521 | 2 |
| #14561487 | 2 |
| C19×#2353 | 2 |
| #8777 | 19 |