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. #13066920 | C2 | semidirect |
| 3. #13066918 | C2 | semidirect |
| 4. #13066917 | C2 | semidirect |
| 5. #13066916 | C2 | semidirect |
| 6. #13066915 | C2 | semidirect |
| 7. C11×#1454 | C2 | semidirect |
| 19. C11×#322 | C22 | semidirect |
| 20. C82×C11 | C22 | semidirect |
| 21. #10622093 | C22 | semidirect |
| 22. #10622092 | C22 | semidirect |
| 23. #10622092 | C22 | semidirect |
| 24. C8×C11⋊C8 | C22 | semidirect |
| 74. #1454 | D11 | semidirect |
| 107. #322 | C2×D11 | semidirect |
| 109. C82 | C2×D11 | semidirect |
| 165. C11 | #17339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077244 | 2 |
| #13066920 | 2 |
| #13066918 | 2 |
| #13066917 | 2 |
| #13066916 | 2 |
| #13066915 | 2 |
| C11×#1454 | 2 |
| #17339 | 11 |