Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
280 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13070765 | C2 | semidirect |
| 4. #13066668 | C2 | semidirect |
| 5. #13066587 | C2 | semidirect |
| 7. C11×#2255 | C2 | semidirect |
| 97. #2255 | D11 | semidirect |
| 231. C11 | #12403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081189 | 2 |
| #13070765 | 2 |
| #13068126 | 2 |
| #13066668 | 2 |
| #13066587 | 2 |
| #13066575 | 2 |
| C11×#2255 | 2 |
| #12403 | 11 |