Order 18176.
888 conjugacy classes of subgroups.
The subgroup lattice has 420 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #22599493 | C2 | semidirect |
| 4. #22587384 | C2 | semidirect |
| 6. #22586905 | C2 | semidirect |
| 217. C71 | #18311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22601745 | 2 |
| #22599493 | 2 |
| #22594161 | 2 |
| #22587384 | 2 |
| #22587367 | 2 |
| #22586905 | 2 |
| C71×#1458 | 2 |
| #18311 | 71 |