Order 2816.
2430 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 |
|---|---|---|
| 4. Dic11⋊#95 | C2 | semidirect |
| 5. #13066842 | C2 | semidirect |
| 15. C22×C4×Dic11 | C4 | semidirect |
| 80. C22×C4×C11 | C4⋊C4 | semidirect |
| 205. Dic11 | #381 | semidirect |
| 289. C22×C4 | Dic11⋊C4 | semidirect |
| 298. C11 | #14685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×Dic11 | 2 |
| C2×#10622824 | 2 |
| C2×#10622555 | 2 |
| Dic11⋊#95 | 2 |
| #13066842 | 2 |
| #13066838 | 2 |
| C2×C11×#381 | 2 |
| #14685 | 11 |