Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
492 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13068605 | C2 | semidirect |
| 3. #13067285 | C2 | semidirect |
| 4. #13067283 | C2 | semidirect |
| 5. #13067006 | C2 | semidirect |
| 6. #13066513 | C2 | semidirect |
| 7. C11×#1570 | C2 | semidirect |
| 111. #1570 | D11 | semidirect |
| 291. C11 | #10441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622456 | 2 |
| #13068605 | 2 |
| #13067285 | 2 |
| #13067283 | 2 |
| #13067006 | 2 |
| #13066513 | 2 |
| C11×#1570 | 2 |
| #10441 | 11 |