Order 18176.
742 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. #17986052 | C4 | semidirect |
| 11. #17985869 | C4 | semidirect |
| 16. C4×C4⋊Dic71 | C4 | semidirect |
| 20. #382×C71 | C4 | semidirect |
| 184. C71 | #8026 | semidirect |
| 196. #382 | Dic71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17986052 | 2 |
| #22590747 | 2 |
| #22586219 | 2 |
| C2×#382×C71 | 2 |
| #8026 | 71 |