Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
564 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14566715 | C2 | semidirect |
| 4. #14562206 | C2 | semidirect |
| 6. #14561481 | C2 | semidirect |
| 7. C19×#1294 | C2 | semidirect |
| 10. #11926875 | C4 | semidirect |
| 13. #11926697 | C4 | semidirect |
| 122. C22⋊Dic19 | SD16 | semidirect |
| 205. #1294 | D19 | semidirect |
| 322. C19 | #9278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| #14566715 | 2 |
| #14564470 | 2 |
| #14562206 | 2 |
| C2×#11926277 | 2 |
| #14561481 | 2 |
| C19×#1294 | 2 |
| #9278 | 19 |