Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1222 conjugacy classes of subgroups.
The subgroup lattice has 318 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 21. C5⋊#401 | C4 | direct (N × H) |
| 192. C4×C5 | #401 | semidirect |
| 289. C5 | C4×#401 | semidirect |
| 309. C4 | C5⋊#401 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5⋊#401 | 2 |
| C4×C5×#95 | 2 |
| C4×#3963 | 2 |
| #10600211 | 2 |
| #10600210 | 2 |
| #10600209 | 2 |
| C4×#401 | 5 |