Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
184 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13070498 | C2 | semidirect |
| 3. #13066819 | C2 | semidirect |
| 4. #13066800 | C2 | semidirect |
| 5. #13066799 | C2 | semidirect |
| 6. #13066750 | C2 | semidirect |
| 7. C11×#2178 | C2 | semidirect |
| 15. #10622160 | C4 | semidirect |
| 16. #10622159 | C4 | semidirect |
| 17. #10622158 | C4 | semidirect |
| 18. #10622157 | C4 | semidirect |
| 66. #2178 | D11 | semidirect |
| 154. C11 | #13656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070923 | 2 |
| #13070498 | 2 |
| #13066819 | 2 |
| #13066800 | 2 |
| #13066799 | 2 |
| #13066750 | 2 |
| C11×#2178 | 2 |
| #13656 | 11 |