Order 3328.
5214 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13117420 | C2 | direct (N × H) |
| 4. C2×#11718590 | C2 | semidirect |
| 5. C2×#11718635 | C2 | semidirect |
| 12. C23×Dic26 | C4 | semidirect |
| 27. #11718635 | C22 | semidirect |
| 29. #11718590 | C22 | semidirect |
| 53. C22×Dic26 | C2×C4 | semidirect |
| 243. C2×C13 | #2310 | semidirect |
| 295. C13 | C2×#2310 | semidirect |
| 350. C2 | #13117420 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C24×Dic26 | 2 |
| C22×#88180 | 2 |
| #13117420 | 2 |
| C2×#11718590 | 2 |
| C2×#11718635 | 2 |
| C2×#11718604 | 2 |
| C22×C13×#117 | 2 |
| C2×#2310 | 13 |