Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
950 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 950 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 |
|---|---|---|
| 1. #13079536 | C2 | semidirect |
| 2. #13079534 | C2 | semidirect |
| 3. #13077010 | C2 | semidirect |
| 4. #13069443 | C2 | semidirect |
| 5. #13067285 | C2 | semidirect |
| 6. #13066448 | C2 | semidirect |
| 7. C11×#1545 | C2 | semidirect |
| 59. #66927 | D4 | semidirect |
| 62. #66922 | D4 | semidirect |
| 65. C11×C4⋊C8 | D4 | semidirect |
| 72. C4⋊(C11⋊C8) | D4 | semidirect |
| 127. C4×Dic11 | D8 | semidirect |
| 135. #1545 | D11 | semidirect |
| 268. C4⋊C8 | C22⋊D11 | semidirect |
| 338. C11 | #10280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079536 | 2 |
| #13079534 | 2 |
| #13077010 | 2 |
| #13069443 | 2 |
| #13067285 | 2 |
| #13066448 | 2 |
| C11×#1545 | 2 |
| #10280 | 11 |