Order 4352.
732 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 78. C4⋊#3622 | Q8 | semidirect |
| 276. C17 | #22723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762938 | 2 |
| #14531261 | 2 |
| #14529505 | 2 |
| #14529504 | 2 |
| #14529499 | 2 |
| #14528937 | 2 |
| #14528643 | 2 |
| #14528637 | 2 |
| C17×#1842 | 2 |
| #22723 | 17 |