Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
656 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #14561489 | C2 | semidirect |
| 5. #14561488 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 9. C2×#10597318 | C4 | semidirect |
| 10. C2×C42×D19 | C4 | semidirect |
| 21. C4×(C2×D19)⋊C4 | C4 | semidirect |
| 22. C4×(C2×D19)⋊C4 | C4 | semidirect |
| 220. #1284 | D19 | semidirect |
| 331. C19 | #8738 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566121 | 2 |
| #14563561 | 2 |
| #14563552 | 2 |
| #14561489 | 2 |
| #14561488 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #8738 | 19 |