Order 1280.
1022 conjugacy classes of subgroups.
The subgroup lattice has 396 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #10600359 | C2 | direct (N × H) |
| 12. #65804 | C4 | semidirect |
| 15. C2×#4015 | C4 | semidirect |
| 16. C2×#4015 | C4 | semidirect |
| 18. C2×C4×Dic10 | C4 | semidirect |
| 66. #4015 | C2×C4 | semidirect |
| 67. #4015 | C2×C4 | semidirect |
| 71. C4×Dic10 | C2×C4 | semidirect |
| 322. C2×C5 | #1515 | semidirect |
| 366. C5 | C2×#1515 | semidirect |
| 391. C2 | #10600359 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65804 | 2 |
| C2×C5×#383 | 2 |
| C2×#65215 | 2 |
| #10600359 | 2 |
| C2×#64672 | 2 |
| C2×#1515 | 5 |