Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
134 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 47 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. #13070925 | C2 | semidirect |
| 2. #13066831 | C2 | semidirect |
| 3. #13066828 | C2 | semidirect |
| 4. #13066827 | C2 | semidirect |
| 5. C2×C11×D32 | C2 | semidirect |
| 11. Dic176 | C22 | semidirect |
| 13. D352 | C22 | semidirect |
| 14. C11⋊C64 | C22 | semidirect |
| 37. C2×D32 | D11 | semidirect |
| 91. C11 | #13742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070925 | 2 |
| #13066831 | 2 |
| #13066828 | 2 |
| #13066827 | 2 |
| C2×C11×D32 | 2 |
| #13742 | 11 |