Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
270 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 16. #11926266 | C4 | semidirect |
| 17. #11926265 | C4 | semidirect |
| 172. C19 | #8795 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563797 | 2 |
| #14563772 | 2 |
| #14561928 | 2 |
| #14561495 | 2 |
| #14561494 | 2 |
| #14561493 | 2 |
| C19×#1286 | 2 |
| #8795 | 19 |