Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 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. C2×#10622158 | C2 | semidirect |
| 2. #13070874 | C2 | semidirect |
| 3. D16×Dic11 | C2 | semidirect |
| 4. Dic11⋊C32 | C2 | semidirect |
| 5. #13066798 | C2 | semidirect |
| 6. #13066794 | C2 | semidirect |
| 159. C11 | #13689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622158 | 2 |
| #13070874 | 2 |
| D16×Dic11 | 2 |
| Dic11⋊C32 | 2 |
| #13066798 | 2 |
| #13066794 | 2 |
| C2×C11×D32 | 2 |
| #13689 | 11 |