Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
678 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 4. #14562206 | C2 | semidirect |
| 5. #14562000 | C2 | semidirect |
| 6. #14561522 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 9. C2×#10597355 | C4 | semidirect |
| 10. C2×#10597355 | C4 | semidirect |
| 17. #11926546 | C4 | semidirect |
| 18. #11926546 | C4 | semidirect |
| 235. #1305 | D19 | semidirect |
| 358. C19 | #9345 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572897 | 2 |
| #14572085 | 2 |
| #14563573 | 2 |
| #14562206 | 2 |
| #14562000 | 2 |
| #14561522 | 2 |
| C19×#1305 | 2 |
| #9345 | 19 |