Order 2816.
1710 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 11. C2×C4×Q8×C11 | C4 | semidirect |
| 54. C2×C4⋊Dic11 | Q8 | semidirect |
| 162. C2×C4×Q8 | Dic11 | semidirect |
| 290. C11 | #13925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622549 | 2 |
| C2×C4×C4⋊Dic11 | 2 |
| #13066887 | 2 |
| #13066884 | 2 |
| #13066848 | 2 |
| #13066846 | 2 |
| C22×C4×Q8×C11 | 2 |
| #13925 | 11 |