Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
510 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 135 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×#10622129 | C2 | semidirect |
| 3. C2×C16×Dic11 | C2 | semidirect |
| 4. #13069480 | C2 | semidirect |
| 5. C2×C11×#366 | C2 | semidirect |
| 15. C2×D176 | C4 | semidirect |
| 72. C11×C16 | C22⋊C4 | semidirect |
| 75. C2×#366 | D11 | semidirect |
| 95. C2×Dic11 | D16 | semidirect |
| 193. C16 | (C2×D11)⋊C4 | semidirect |
| 194. C11 | #13235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D176 | 2 |
| C2×#10622129 | 2 |
| C2×C16×Dic11 | 2 |
| #13069480 | 2 |
| C2×C11×#366 | 2 |
| #13235 | 11 |