Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
632 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13071342 | C2 | semidirect |
| 3. #13069447 | C2 | semidirect |
| 4. #13067177 | C2 | semidirect |
| 5. #13066476 | C2 | semidirect |
| 6. #13066444 | C2 | semidirect |
| 7. C11×#1545 | C2 | semidirect |
| 19. #10622686 | C4 | semidirect |
| 21. #10622683 | C4 | semidirect |
| 50. #66927 | C2×C4 | semidirect |
| 53. #66922 | C2×C4 | semidirect |
| 68. C4×C11⋊C8 | C2×C4 | semidirect |
| 123. C4×Dic11 | D8 | semidirect |
| 128. #1545 | 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 |
|---|---|
| #13079534 | 2 |
| #13071342 | 2 |
| #13069447 | 2 |
| #13067177 | 2 |
| #13066476 | 2 |
| #13066444 | 2 |
| C11×#1545 | 2 |
| #9299 | 11 |