Order 18176.
1302 conjugacy classes of subgroups.
The subgroup lattice has 350 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22589302 | C2 | semidirect |
| 4. #22589293 | C2 | semidirect |
| 23. C2×C4⋊Q8×C71 | C4 | semidirect |
| 181. C71 | #21833 | semidirect |
| 186. C2×C4⋊Q8 | 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 |
| #22589302 | 2 |
| #22589293 | 2 |
| #22588426 | 2 |
| C22×C4⋊Q8×C71 | 2 |
| #21833 | 71 |