Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
712 conjugacy classes of subgroups; only the 323 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 323 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. #13066919 | C2 | semidirect |
| 3. #13066917 | C2 | semidirect |
| 4. #13066915 | C2 | semidirect |
| 5. C11×#1455 | C2 | semidirect |
| 14. C11×#322 | C22 | semidirect |
| 15. C82×C11 | C22 | semidirect |
| 16. #10622093 | C22 | semidirect |
| 17. #10622092 | C22 | semidirect |
| 18. C8×C11⋊C8 | C22 | semidirect |
| 53. #1455 | D11 | semidirect |
| 79. #322 | C2×D11 | semidirect |
| 81. C82 | C2×D11 | semidirect |
| 123. C11 | #17339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077247 | 2 |
| #13066919 | 2 |
| #13066917 | 2 |
| #13066915 | 2 |
| C11×#1455 | 2 |
| #17339 | 11 |