Order 2816.
1454 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. #13069941 | C2 | direct (N × H) |
| 50. C2×C4⋊Dic11 | Q8 | semidirect |
| 57. C22×C11⋊C8 | Q8 | semidirect |
| 103. C4⋊Dic11 | C2×Q8 | semidirect |
| 108. C2×C11⋊C8 | C2×Q8 | semidirect |
| 230. C2×C11 | #2057 | semidirect |
| 285. C11 | C2×#2057 | semidirect |
| 347. C2 | #13069941 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66871 | 2 |
| C2×#10622541 | 2 |
| #13069941 | 2 |
| C2×#10622167 | 2 |
| C2×#10622162 | 2 |
| C22×C11×C4⋊Q8 | 2 |
| C2×#2057 | 11 |