Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
508 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14566815 | C2 | semidirect |
| 3. #14562360 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#1288 | C2 | semidirect |
| 12. #11926924 | C4 | semidirect |
| 13. #11926917 | C4 | semidirect |
| 141. #1288 | D19 | semidirect |
| 219. C19 | #9429 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574094 | 2 |
| #14566815 | 2 |
| #14562360 | 2 |
| #14562183 | 2 |
| #14562181 | 2 |
| #14561500 | 2 |
| C19×#1288 | 2 |
| #9429 | 19 |