Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
202 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13070474 | C2 | semidirect |
| 4. #13066817 | C2 | semidirect |
| 5. #13066798 | C2 | semidirect |
| 6. C32×Dic11 | C2 | semidirect |
| 15. #10622158 | C4 | semidirect |
| 34. Dic88 | C2×C4 | semidirect |
| 36. C11⋊C32 | C2×C4 | semidirect |
| 100. Dic11 | SD64 | semidirect |
| 140. C11 | C4×SD64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622158 | 2 |
| #13070474 | 2 |
| D16×Dic11 | 2 |
| #13066817 | 2 |
| #13066798 | 2 |
| C32×Dic11 | 2 |
| C11×#1415 | 2 |
| C4×SD64 | 11 |