Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
908 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 143 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. #14563571 | C2 | semidirect |
| 4. #14561515 | C2 | semidirect |
| 11. #11926456 | C4 | semidirect |
| 30. C22×Dic38 | C2×C4 | semidirect |
| 50. C19⋊#95 | C2×C4 | semidirect |
| 121. C23×C19 | #103 | semidirect |
| 250. C19 | #9013 | semidirect |
| 319. C23 | #10597273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926456 | 2 |
| #14566249 | 2 |
| #14563571 | 2 |
| #14561515 | 2 |
| C2×C19×#323 | 2 |
| #9013 | 19 |