Order 18176.
1742 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 14. #17985865 | C4 | semidirect |
| 19. C42×Dic71 | C4 | semidirect |
| 22. #382×C71 | C4 | semidirect |
| 99. C42×C71 | C42 | semidirect |
| 167. Dic71 | #382 | direct (N × H) |
| 185. C71 | C4×#382 | semidirect |
| 195. #382 | Dic71 | direct (N × H) |
| 277. C42 | C4×Dic71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985865 | 2 |
| C2×C4⋊C4×Dic71 | 2 |
| C2×C42×Dic71 | 2 |
| #22586569 | 2 |
| #22586565 | 2 |
| #95×Dic71 | 2 |
| C2×#382×C71 | 2 |
| C4×#382 | 71 |