Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
2290 conjugacy classes of subgroups.
The subgroup lattice has 280 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13071722 | C2 | semidirect |
| 2. #13071676 | C2 | semidirect |
| 5. #13071094 | C2 | semidirect |
| 6. C4×Q8×Dic11 | C2 | semidirect |
| 9. C11×#533 | C4 | semidirect |
| 131. #533 | Dic11 | semidirect |
| 238. C11 | #34154 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13071722 | 2 |
| #13071676 | 2 |
| #13071647 | 2 |
| #13071114 | 2 |
| #13071094 | 2 |
| C4×Q8×Dic11 | 2 |
| C4×#66979 | 2 |
| C2×C11×#533 | 2 |
| #34154 | 11 |