Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
586 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 101 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. C22×#66890 | C2 | semidirect |
| 2. #13079103 | C2 | semidirect |
| 3. C2×#10622154 | C2 | semidirect |
| 4. C2×#10622205 | C2 | semidirect |
| 5. #13069527 | C2 | semidirect |
| 6. #13066706 | C2 | semidirect |
| 7. C2×C11×#509 | C2 | semidirect |
| 46. C2×C11×D8 | D4 | semidirect |
| 68. C11×M32 | D4 | semidirect |
| 79. C2×C11⋊C16 | D4 | semidirect |
| 139. C2×#509 | D11 | semidirect |
| 255. C2×D8 | C22⋊D11 | semidirect |
| 268. M32 | C22⋊D11 | semidirect |
| 344. C11 | #13336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66890 | 2 |
| #13079103 | 2 |
| C2×#10622154 | 2 |
| C2×#10622205 | 2 |
| #13069527 | 2 |
| #13066706 | 2 |
| C2×C11×#509 | 2 |
| #13336 | 11 |