Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #14563799 | C2 | semidirect |
| 2. #14562199 | C2 | semidirect |
| 4. #14561927 | C2 | semidirect |
| 16. C19×#487 | C4 | semidirect |
| 17. C19×#486 | C4 | semidirect |
| 133. #487 | Dic19 | semidirect |
| 134. #486 | Dic19 | semidirect |
| 178. C19 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563799 | 2 |
| #14562199 | 2 |
| #14562195 | 2 |
| #14561927 | 2 |
| C19×#3131 | 2 |
| #9758 | 19 |