Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 21. C19×#500 | C4 | semidirect |
| 22. C19×#498 | C4 | semidirect |
| 149. #500 | Dic19 | semidirect |
| 150. #498 | Dic19 | semidirect |
| 203. C19 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566816 | 2 |
| #14562352 | 2 |
| #14562186 | 2 |
| #14561500 | 2 |
| C19×#3165 | 2 |
| #9427 | 19 |