Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
408 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 111 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. C5×#1846 | C2 | semidirect |
| 3. #10600519 | C2 | semidirect |
| 4. #10600339 | C2 | semidirect |
| 16. #64983 | C4 | semidirect |
| 17. #64970 | C4 | semidirect |
| 51. #1846 | D5 | semidirect |
| 238. C5 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10610194 | 2 |
| C5×#1846 | 2 |
| #10600519 | 2 |
| #10600339 | 2 |
| #10600338 | 2 |
| #9758 | 5 |