Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
176 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13070890 | C2 | semidirect |
| 3. #13066817 | C2 | semidirect |
| 4. Dic11⋊C32 | C2 | semidirect |
| 7. C11×#1424 | C2 | semidirect |
| 31. D176 | Q8 | semidirect |
| 54. #1424 | D11 | semidirect |
| 129. C11 | #13705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070890 | 2 |
| #13070462 | 2 |
| #13066817 | 2 |
| Dic11⋊C32 | 2 |
| #13066795 | 2 |
| #13066793 | 2 |
| C11×#1424 | 2 |
| #13705 | 11 |