Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#10622131 | C2 | semidirect |
| 4. #13070215 | C2 | semidirect |
| 5. #13069532 | C2 | semidirect |
| 7. C2×C11×#362 | C2 | semidirect |
| 17. C2×#66892 | C4 | semidirect |
| 113. C2×#362 | D11 | semidirect |
| 269. C11 | #13246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66892 | 2 |
| C2×#10622131 | 2 |
| C2×#10622154 | 2 |
| #13070215 | 2 |
| #13069532 | 2 |
| #13069524 | 2 |
| C2×C11×#362 | 2 |
| #13246 | 11 |