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. #13115974 | C2 | direct (N × H) |
| 39. C22×Dic26 | Q8 | semidirect |
| 102. C2×Dic26 | C2×Q8 | semidirect |
| 240. C2×C13 | #2024 | semidirect |
| 300. C13 | C2×#2024 | semidirect |
| 365. C2 | #13115974 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88050 | 2 |
| C2×#11718590 | 2 |
| #13115974 | 2 |
| C2×#11718121 | 2 |
| C2×#11718116 | 2 |
| C22×C13×C4⋊Q8 | 2 |
| C2×#2024 | 13 |