Order 2816.
1386 conjugacy classes of subgroups.
The subgroup lattice has 666 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13066981 | C2 | semidirect |
| 4. #13066979 | C2 | semidirect |
| 5. #13066945 | C2 | semidirect |
| 38. #10622107 | C22 | semidirect |
| 536. C11 | #17397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66977 | 2 |
| C2×#10622820 | 2 |
| #13066981 | 2 |
| #13066979 | 2 |
| #13066945 | 2 |
| C2×C11×#407 | 2 |
| #17397 | 11 |