Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
494 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #13079734 | C2 | semidirect |
| 2. C2×#10622668 | C2 | semidirect |
| 3. #13067341 | C2 | semidirect |
| 4. #13067227 | C2 | semidirect |
| 5. #13066968 | C2 | semidirect |
| 6. #13066514 | C2 | semidirect |
| 302. C11 | #10140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079734 | 2 |
| C2×#10622668 | 2 |
| #13067341 | 2 |
| #13067227 | 2 |
| #13066968 | 2 |
| #13066514 | 2 |
| C11×#3213 | 2 |
| #10140 | 11 |