Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
538 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 538 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 |
|---|---|---|
| 3. #14563734 | C2 | semidirect |
| 5. #14561543 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1820 | C2 | semidirect |
| 10. #11926862 | C4 | semidirect |
| 11. #11926857 | C4 | semidirect |
| 39. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 40. C2×C4⋊C4×C19 | C2×C4 | semidirect |
| 72. C22⋊(C19⋊C8) | C2×C4 | semidirect |
| 195. #1820 | D19 | semidirect |
| 278. C2×C4⋊C4 | C4×D19 | semidirect |
| 279. C2×C4⋊C4 | C4×D19 | semidirect |
| 308. C19 | #9525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573575 | 2 |
| #14566397 | 2 |
| #14563734 | 2 |
| #14562163 | 2 |
| #14561543 | 2 |
| #14561487 | 2 |
| C19×#1820 | 2 |
| #9525 | 19 |