Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
726 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14563559 | C2 | semidirect |
| 4. #14561487 | C2 | semidirect |
| 5. C19×#2310 | C2 | semidirect |
| 6. C2×#10597393 | C4 | semidirect |
| 11. #11926451 | C4 | semidirect |
| 140. #2310 | D19 | semidirect |
| 221. C19 | #9466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14567289 | 2 |
| #14563559 | 2 |
| #14562163 | 2 |
| #14561487 | 2 |
| C19×#2310 | 2 |
| #9466 | 19 |