Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
428 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13068609 | C2 | semidirect |
| 3. #13067374 | C2 | semidirect |
| 6. C2×#10622122 | C2 | semidirect |
| 7. C11×#1292 | C2 | semidirect |
| 127. #1292 | D11 | semidirect |
| 308. C11 | #10458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078090 | 2 |
| #13068609 | 2 |
| #13067374 | 2 |
| #13067291 | 2 |
| #13067066 | 2 |
| C2×#10622122 | 2 |
| C11×#1292 | 2 |
| #10458 | 11 |