Order 1280.
1746 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #10611440 | C2 | direct (N × H) |
| 50. C2×C5×Q16 | Q8 | semidirect |
| 131. C5×Q16 | C2×Q8 | semidirect |
| 228. C2×Q16 | Dic10 | semidirect |
| 314. Q16 | C2×Dic10 | semidirect |
| 344. C2×C5 | #3390 | semidirect |
| 377. C5 | C2×#3390 | semidirect |
| 393. C2 | #10611440 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65903 | 2 |
| C2×C4×C5×Q16 | 2 |
| C2×#65473 | 2 |
| C2×#65311 | 2 |
| #10611440 | 2 |
| C2×#65165 | 2 |
| C2×#65085 | 2 |
| C2×#65083 | 2 |
| C2×#64968 | 2 |
| C2×#64972 | 2 |
| C2×#3390 | 5 |