Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
508 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14566352 | C2 | semidirect |
| 4. #14562308 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 11. #11926949 | C4 | semidirect |
| 12. #11926891 | C4 | semidirect |
| 166. #1286 | D19 | semidirect |
| 255. C19 | #9300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574758 | 2 |
| #14566352 | 2 |
| #14564466 | 2 |
| #14562308 | 2 |
| #14562194 | 2 |
| #14561463 | 2 |
| C19×#1286 | 2 |
| #9300 | 19 |