Order 1280.
780 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #10601267 | C2 | semidirect |
| 6. C4×#3951 | C2 | semidirect |
| 169. C2×C4×C5 | #108 | semidirect |
| 322. C2×C4 | #3951 | semidirect |
| 339. C5 | #21370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#431 | 2 |
| #10613780 | 2 |
| C2×C4×#681 | 2 |
| #10601267 | 2 |
| #10600747 | 2 |
| C4×#3951 | 2 |
| #21370 | 5 |