Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
878 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 878 conjugacy classes of subgroups — too many to draw. Only its 135 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. #13070353 | C2 | semidirect |
| 3. #13070337 | C2 | semidirect |
| 4. #13068662 | C2 | semidirect |
| 5. C11×#2115 | C2 | semidirect |
| 12. C22×Dic44 | C4 | semidirect |
| 14. C2×#66957 | C4 | semidirect |
| 119. #2115 | D11 | semidirect |
| 283. C11 | #12742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10623284 | 2 |
| #13070353 | 2 |
| #13070337 | 2 |
| #13068662 | 2 |
| C11×#2115 | 2 |
| #12742 | 11 |