Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
422 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 115 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×#10622134 | C2 | semidirect |
| 4. #13070212 | C2 | semidirect |
| 5. #13069529 | C2 | semidirect |
| 7. C2×C11×#368 | C2 | semidirect |
| 22. C2×#66864 | C4 | semidirect |
| 112. C2×#368 | 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×#66864 | 2 |
| C2×#10622134 | 2 |
| C2×#10622133 | 2 |
| #13070212 | 2 |
| #13069529 | 2 |
| #13069524 | 2 |
| C2×C11×#368 | 2 |
| #13246 | 11 |