Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
704 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 704 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 |
|---|---|---|
| 2. #14572085 | C2 | semidirect |
| 3. #14563573 | C2 | semidirect |
| 4. #14562202 | C2 | semidirect |
| 5. #14561996 | C2 | semidirect |
| 6. #14561522 | C2 | semidirect |
| 7. C19×#1305 | C2 | semidirect |
| 9. C2×#10597354 | C4 | semidirect |
| 10. C2×#10597354 | C4 | semidirect |
| 17. #11926546 | C4 | semidirect |
| 18. #11926546 | C4 | semidirect |
| 242. #1305 | D19 | semidirect |
| 369. C19 | #9347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572889 | 2 |
| #14572085 | 2 |
| #14563573 | 2 |
| #14562202 | 2 |
| #14561996 | 2 |
| #14561522 | 2 |
| C19×#1305 | 2 |
| #9347 | 19 |