Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
494 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14564454 | C2 | semidirect |
| 4. #14562306 | C2 | semidirect |
| 5. #14561493 | C2 | semidirect |
| 6. #14561465 | C2 | semidirect |
| 10. #11926947 | C4 | semidirect |
| 11. #11926890 | C4 | semidirect |
| 249. C19 | #9291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574753 | 2 |
| #14572353 | 2 |
| #14564454 | 2 |
| #14562306 | 2 |
| #14561493 | 2 |
| #14561465 | 2 |
| C19×#1517 | 2 |
| #9291 | 19 |