Order 2816.
2750 conjugacy classes of subgroups.
The subgroup lattice has 352 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13071090 | C2 | direct (N × H) |
| 22. C2×C4×Dic22 | C4 | semidirect |
| 62. C2×C4×Dic11 | Q8 | semidirect |
| 68. C4×Dic22 | C2×C4 | semidirect |
| 116. C4×Dic11 | C2×Q8 | semidirect |
| 242. C2×C11 | #2295 | semidirect |
| 291. C11 | C2×#2295 | semidirect |
| 345. C2 | #13071090 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic22 | 2 |
| #13071090 | 2 |
| C2×#10622587 | 2 |
| C2×#10622586 | 2 |
| C2×#10622265 | 2 |
| C2×C4×Dic11⋊C4 | 2 |
| C2×#10622545 | 2 |
| C2×C42×Dic11 | 2 |
| C2×C4×C11×C4⋊C4 | 2 |
| C2×#2295 | 11 |