Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
614 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 614 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13078090 | C2 | semidirect |
| 3. C2×#10622461 | C2 | semidirect |
| 4. #13067285 | C2 | semidirect |
| 5. #13067014 | C2 | semidirect |
| 6. #13066939 | C2 | semidirect |
| 7. C11×#1301 | C2 | semidirect |
| 113. C2×Dic22 | D8 | semidirect |
| 146. #1301 | D11 | semidirect |
| 360. C11 | #10177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079536 | 2 |
| #13078090 | 2 |
| C2×#10622461 | 2 |
| #13067285 | 2 |
| #13067014 | 2 |
| #13066939 | 2 |
| C11×#1301 | 2 |
| #10177 | 11 |