Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
770 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 255 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. #13068790 | C2 | semidirect |
| 4. #13068757 | C2 | semidirect |
| 6. #13068521 | C2 | semidirect |
| 7. C11×#1838 | C2 | semidirect |
| 75. #1838 | D11 | semidirect |
| 177. C11 | #20830 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077248 | 2 |
| C2×D11×#97 | 2 |
| #13068790 | 2 |
| #13068757 | 2 |
| #13068653 | 2 |
| #13068521 | 2 |
| C11×#1838 | 2 |
| #20830 | 11 |