Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
386 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 386 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. #13067298 | C2 | semidirect |
| 4. C2×#10622124 | C2 | semidirect |
| 6. #13066467 | C2 | semidirect |
| 7. C11×#1950 | C2 | semidirect |
| 111. #1950 | D11 | semidirect |
| 281. C11 | #10552 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079010 | 2 |
| #13067298 | 2 |
| #13067294 | 2 |
| C2×#10622124 | 2 |
| #13067014 | 2 |
| #13066467 | 2 |
| C11×#1950 | 2 |
| #10552 | 11 |