Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
238 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13066749 | C2 | semidirect |
| 4. C32×Dic11 | C2 | semidirect |
| 9. C11×M64 | C4 | semidirect |
| 13. C2×C11⋊C32 | C4 | semidirect |
| 63. M64 | Dic11 | semidirect |
| 108. C11 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C11⋊C32 | 2 |
| #13070212 | 2 |
| #13066749 | 2 |
| C32×Dic11 | 2 |
| C2×C11×M64 | 2 |
| #13549 | 11 |