Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
716 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14563570 | C2 | semidirect |
| 4. #14561502 | C2 | semidirect |
| 17. C19×#395 | C4 | semidirect |
| 18. C19×#393 | C4 | semidirect |
| 191. #395 | Dic19 | semidirect |
| 192. #393 | Dic19 | semidirect |
| 242. C19 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572664 | 2 |
| #14563623 | 2 |
| #14563570 | 2 |
| #14561502 | 2 |
| C19×#2409 | 2 |
| #9471 | 19 |