Order 3328.
914 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13130040 | C2 | semidirect |
| 4. #13130034 | C2 | semidirect |
| 5. M16×#1057 | C2 | semidirect |
| 30. #11718251 | C22 | semidirect |
| 31. C8×#1057 | C22 | semidirect |
| 43. M16×D13 | C8 | semidirect |
| 99. C13×M16 | C2×C8 | semidirect |
| 117. #6099 | C2×C8 | semidirect |
| 119. #6094 | C2×C8 | semidirect |
| 120. C8×D13 | C2×C8 | semidirect |
| 285. M16 | D13⋊C8 | semidirect |
| 309. C13 | #17314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719049 | 2 |
| D13⋊#431 | 2 |
| #13130040 | 2 |
| #13130034 | 2 |
| M16×#1057 | 2 |
| C4×M16×D13 | 2 |
| #17314 | 13 |