Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
456 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. #14572713 | C2 | semidirect |
| 3. #14562142 | C2 | semidirect |
| 4. #14562104 | C2 | semidirect |
| 5. #14561498 | C2 | semidirect |
| 6. #14561464 | C2 | semidirect |
| 7. C19×#1505 | C2 | semidirect |
| 9. #11926920 | C4 | semidirect |
| 10. #11926918 | C4 | semidirect |
| 11. #11926894 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 156. #1505 | D19 | semidirect |
| 249. C19 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574568 | 2 |
| #14572713 | 2 |
| #14562142 | 2 |
| #14562104 | 2 |
| #14561498 | 2 |
| #14561464 | 2 |
| C19×#1505 | 2 |
| #9281 | 19 |