Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13069391 | C2 | semidirect |
| 3. #13067391 | C2 | semidirect |
| 6. #13066491 | C2 | semidirect |
| 7. C11×#1565 | C2 | semidirect |
| 100. #1565 | D11 | semidirect |
| 253. C11 | #10603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069456 | 2 |
| #13069391 | 2 |
| #13067391 | 2 |
| #13067283 | 2 |
| C2×#10622123 | 2 |
| #13066491 | 2 |
| C11×#1565 | 2 |
| #10603 | 11 |