Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
838 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 838 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14563580 | C2 | semidirect |
| 3. #14561962 | C2 | semidirect |
| 4. #14561488 | C2 | semidirect |
| 5. C19×#2312 | C2 | semidirect |
| 10. #11926456 | C4 | semidirect |
| 11. #11926453 | C4 | semidirect |
| 40. C2×C42×C19 | D4 | semidirect |
| 157. #2312 | D19 | semidirect |
| 237. C2×C42 | C22⋊D19 | semidirect |
| 246. C19 | #9479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566954 | 2 |
| #14563580 | 2 |
| #14561962 | 2 |
| #14561488 | 2 |
| C19×#2312 | 2 |
| #9479 | 19 |