Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
482 conjugacy classes of subgroups.
The subgroup lattice has 358 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#64763 | C2 | semidirect |
| 4. #10600184 | C2 | semidirect |
| 5. #10600182 | C2 | semidirect |
| 323. C5 | #9688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2861 | 2 |
| C2×#64763 | 2 |
| C2×#64760 | 2 |
| #10600184 | 2 |
| #10600182 | 2 |
| #9688 | 5 |