Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
736 conjugacy classes of subgroups.
The subgroup lattice has 598 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #10598191 | C2 | semidirect |
| 554. C5 | #12579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#413 | 2 |
| C2×#65526 | 2 |
| #10615805 | 2 |
| #10598191 | 2 |
| #12579 | 5 |