Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
358 conjugacy classes of subgroups.
The subgroup lattice has 298 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C4×#3951 | C2 | semidirect |
| 4. #10600525 | C2 | semidirect |
| 5. #10598244 | C2 | semidirect |
| 274. C5 | #8690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2966 | 2 |
| #10602540 | 2 |
| C4×#3951 | 2 |
| #10600525 | 2 |
| #10598244 | 2 |
| #8690 | 5 |