Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14562146 | C2 | semidirect |
| 5. #14562109 | C2 | semidirect |
| 6. #14561497 | C2 | semidirect |
| 7. C19×#1274 | C2 | semidirect |
| 10. #11926949 | C4 | semidirect |
| 11. #11926942 | C4 | semidirect |
| 12. #11926891 | C4 | semidirect |
| 13. #11926891 | C4 | semidirect |
| 152. #1274 | D19 | semidirect |
| 239. C19 | #9279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574773 | 2 |
| #14572710 | 2 |
| #14562146 | 2 |
| #14562142 | 2 |
| #14562109 | 2 |
| #14561497 | 2 |
| C19×#1274 | 2 |
| #9279 | 19 |