Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
636 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 391 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 |
|---|---|---|
| 3. #13070389 | C2 | semidirect |
| 4. C2×#10622151 | C2 | semidirect |
| 9. C11×#504 | C4 | semidirect |
| 29. C11×M32 | C2×C4 | semidirect |
| 31. C2×C11×C16 | C2×C4 | semidirect |
| 81. #504 | Dic11 | semidirect |
| 109. M32 | C2×Dic11 | semidirect |
| 111. C2×C16 | C2×Dic11 | semidirect |
| 141. C11 | #33404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077227 | 2 |
| #13077211 | 2 |
| #13070389 | 2 |
| C2×#10622151 | 2 |
| C11×#3407 | 2 |
| #33404 | 11 |