Order 3328.
734 conjugacy classes of subgroups.
The subgroup lattice has 404 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 16. #11718122 | C4 | semidirect |
| 308. C13 | #11296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718122 | 2 |
| #13114557 | 2 |
| C2×#11718124 | 2 |
| #13113065 | 2 |
| C13×#2316 | 2 |
| #11296 | 13 |