Order 1280.
700 conjugacy classes of subgroups.
The subgroup lattice has 386 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #10598237 | C2 | semidirect |
| 9. C5×#432 | C4 | semidirect |
| 12. C5×#423 | C4 | semidirect |
| 23. #65213 | C4 | semidirect |
| 26. C2×C4⋊#168 | C4 | semidirect |
| 126. #432 | Dic5 | semidirect |
| 133. #423 | Dic5 | semidirect |
| 353. C5 | #8097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#2920 | 2 |
| C4×#4072 | 2 |
| C2×#65213 | 2 |
| #10598237 | 2 |
| #8097 | 5 |