Order 3328.
1518 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13115977 | C2 | direct (N × H) |
| 29. C22×Q8×C13 | Q8 | semidirect |
| 72. C2×Q8×C13 | C2×Q8 | semidirect |
| 211. C22×Q8 | Dic26 | semidirect |
| 240. C2×C13 | #2024 | semidirect |
| 261. C2×Q8 | C2×Dic26 | semidirect |
| 300. C13 | C2×#2024 | semidirect |
| 365. C2 | #13115977 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88123 | 2 |
| C22×#88075 | 2 |
| #13115977 | 2 |
| C2×#11718121 | 2 |
| C2×#11718116 | 2 |
| C2×C13×#391 | 2 |
| C2×#2024 | 13 |