Order 1280.
1146 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #10600229 | C2 | semidirect |
| 7. #10600184 | C2 | semidirect |
| 8. C4×C4⋊#168 | C2 | semidirect |
| 21. #65213 | C4 | semidirect |
| 22. C2×C4⋊#168 | C4 | semidirect |
| 242. C4×C5 | #405 | semidirect |
| 337. C5 | #20431 | semidirect |
| 354. C4 | #65286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#117 | 2 |
| C2×#65286 | 2 |
| C2×#65213 | 2 |
| C22×C4⋊#168 | 2 |
| #10602372 | 2 |
| #10600229 | 2 |
| #10600184 | 2 |
| C4×C4⋊#168 | 2 |
| #20431 | 5 |