Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
632 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13071339 | C2 | semidirect |
| 3. #13069449 | C2 | semidirect |
| 4. #13067283 | C2 | semidirect |
| 5. #13066474 | C2 | semidirect |
| 6. #13066444 | C2 | semidirect |
| 7. C11×#1517 | C2 | semidirect |
| 15. #10622701 | C4 | semidirect |
| 16. #10622686 | C4 | semidirect |
| 32. C11×C4⋊Q8 | C2×C4 | semidirect |
| 33. C11×#127 | C2×C4 | semidirect |
| 68. C4×C11⋊C8 | C2×C4 | semidirect |
| 120. C4×Dic11 | D8 | semidirect |
| 129. #1517 | D11 | semidirect |
| 238. C4⋊Q8 | C4×D11 | semidirect |
| 243. #127 | C4×D11 | semidirect |
| 335. C11 | #9299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079531 | 2 |
| #13071339 | 2 |
| #13069449 | 2 |
| #13067283 | 2 |
| #13066474 | 2 |
| #13066444 | 2 |
| C11×#1517 | 2 |
| #9299 | 11 |