Order 3328.
588 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 49. #88141 | C8 | semidirect |
| 169. Dic26 | C4⋊C8 | semidirect |
| 210. Dic13 | Q8⋊C8 | semidirect |
| 317. C13 | #8564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130769 | 2 |
| C4×#88112 | 2 |
| C2×#11718244 | 2 |
| #13129672 | 2 |
| C4×#88141 | 2 |
| #8564 | 13 |