Order 4352.
906 conjugacy classes of subgroups.
The subgroup lattice has 408 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14543656 | C2 | direct (N × H) |
| 215. C2×C17 | #1293 | semidirect |
| 253. C17 | C2×#1293 | semidirect |
| 403. C2 | #14543656 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763780 | 2 |
| #14543656 | 2 |
| C22×#10587491 | 2 |
| C2×#1293 | 17 |