Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
392 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14562421 | C2 | semidirect |
| 3. #14562335 | C2 | semidirect |
| 4. #14562134 | C2 | semidirect |
| 6. #14561492 | C2 | semidirect |
| 255. C19 | #10510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564568 | 2 |
| #14562421 | 2 |
| #14562335 | 2 |
| #14562134 | 2 |
| #14561987 | 2 |
| #14561492 | 2 |
| C19×#3215 | 2 |
| #10510 | 19 |