Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
670 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. C2×#10622770 | C2 | semidirect |
| 2. C2×#10622200 | C2 | semidirect |
| 3. C2×(C2×D11)⋊C16 | C2 | semidirect |
| 4. #13066708 | C2 | semidirect |
| 5. C22×C11×D16 | C2 | semidirect |
| 27. C2×C11×D8 | D4 | semidirect |
| 40. C2×C11×C16 | D4 | semidirect |
| 43. #66882 | D4 | semidirect |
| 83. C22×D16 | D11 | semidirect |
| 100. C22×D11 | D16 | semidirect |
| 165. C2×D8 | C22⋊D11 | semidirect |
| 180. C2×C16 | C22⋊D11 | semidirect |
| 227. C11 | #13304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622770 | 2 |
| C2×#10622200 | 2 |
| C2×(C2×D11)⋊C16 | 2 |
| #13066708 | 2 |
| C22×C11×D16 | 2 |
| #13304 | 11 |