Order 2816.
2574 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13073999 | C2 | direct (N × H) |
| 47. C2×C11×C4⋊C4 | Q8 | semidirect |
| 110. C11×C4⋊C4 | C2×Q8 | semidirect |
| 240. C2×C4⋊C4 | Dic22 | semidirect |
| 251. C2×C11 | #2584 | semidirect |
| 298. C4⋊C4 | C2×Dic22 | semidirect |
| 302. C11 | C2×#2584 | semidirect |
| 357. C2 | #13073999 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66923 | 2 |
| C22×C4×Dic22 | 2 |
| #13073999 | 2 |
| C2×#10622274 | 2 |
| C2×#10622269 | 2 |
| C2×#10622598 | 2 |
| C2×#10622541 | 2 |
| C2×C4×C11×C4⋊C4 | 2 |
| C2×#2584 | 11 |