Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
380 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 1. #14565193 | C2 | semidirect |
| 2. #14565043 | C2 | semidirect |
| 4. #14561461 | C2 | semidirect |
| 5. #14561458 | C2 | semidirect |
| 240. C19 | #7811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565193 | 2 |
| #14565043 | 2 |
| #14565038 | 2 |
| #14561461 | 2 |
| #14561458 | 2 |
| #14561456 | 2 |
| C19×#2808 | 2 |
| #7811 | 19 |