Order 3328.
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⋊#1055 | Q8 | semidirect |
| 322. C13 | #22723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718489 | 2 |
| #13117313 | 2 |
| #13115557 | 2 |
| #13115556 | 2 |
| #13115551 | 2 |
| #13114989 | 2 |
| #13114695 | 2 |
| #13114689 | 2 |
| C13×#1842 | 2 |
| #22723 | 13 |