Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
614 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#64763 | C2 | semidirect |
| 5. #10598121 | C2 | semidirect |
| 339. C5 | #9122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2851 | 2 |
| C2×C4×#681 | 2 |
| C2×#64763 | 2 |
| #10602322 | 2 |
| #10598121 | 2 |
| #9122 | 5 |