Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
838 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 838 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14566230 | C2 | semidirect |
| 3. #14563580 | C2 | semidirect |
| 4. #14563578 | C2 | semidirect |
| 5. #14561961 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 14. #11926457 | C4 | semidirect |
| 15. #11926454 | C4 | semidirect |
| 43. C2×C42×C19 | D4 | semidirect |
| 56. C2×C4×Dic19 | D4 | semidirect |
| 208. #1284 | D19 | semidirect |
| 299. C2×C42 | D76 | semidirect |
| 312. C19 | #9479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566956 | 2 |
| #14566230 | 2 |
| #14563580 | 2 |
| #14563578 | 2 |
| #14561961 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #9479 | 19 |