Order 1280.
1438 conjugacy classes of subgroups.
The subgroup lattice has 404 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #10601503 | C2 | direct (N × H) |
| 16. C22×Dic20 | C4 | semidirect |
| 71. C2×Dic20 | C2×C4 | semidirect |
| 334. C2×C5 | #1979 | semidirect |
| 378. C5 | C2×#1979 | semidirect |
| 400. C2 | #10601503 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic20 | 2 |
| C22×C5×#108 | 2 |
| C2×#65409 | 2 |
| C22×#3956 | 2 |
| C2×#65390 | 2 |
| #10601503 | 2 |
| C2×#1979 | 5 |