Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
606 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14564620 | C2 | semidirect |
| 5. C2×#11926282 | C2 | semidirect |
| 6. #14561515 | C2 | semidirect |
| 7. C19×#1282 | C2 | semidirect |
| 12. #11926863 | C4 | semidirect |
| 15. #11926685 | C4 | semidirect |
| 36. C22×Dic38 | C2×C4 | semidirect |
| 53. C2×C4⋊Dic19 | C2×C4 | semidirect |
| 68. C19×C22⋊C8 | C2×C4 | semidirect |
| 122. C22⋊C4×C19 | SD16 | semidirect |
| 211. #1282 | D19 | semidirect |
| 321. C22⋊C8 | C4×D19 | semidirect |
| 329. C19 | #9275 | semidirect |
| 391. C22⋊C4 | #64516 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| #14566685 | 2 |
| #14564620 | 2 |
| #14562204 | 2 |
| C2×#11926282 | 2 |
| #14561515 | 2 |
| C19×#1282 | 2 |
| #9275 | 19 |