Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
470 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14572718 | C2 | semidirect |
| 3. #14563651 | C2 | semidirect |
| 5. #14561532 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 11. #11926751 | C4 | semidirect |
| 12. #11926741 | C4 | semidirect |
| 251. C19 | #9310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573103 | 2 |
| #14572718 | 2 |
| #14563651 | 2 |
| #14562195 | 2 |
| #14561532 | 2 |
| #14561494 | 2 |
| C19×#1480 | 2 |
| #9310 | 19 |