Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
550 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#10622462 | C2 | semidirect |
| 4. #13067289 | C2 | semidirect |
| 6. #13066939 | C2 | semidirect |
| 7. C11×#1301 | C2 | semidirect |
| 143. #1301 | D11 | semidirect |
| 343. C11 | #10185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079739 | 2 |
| #13078090 | 2 |
| C2×#10622462 | 2 |
| #13067289 | 2 |
| #13067014 | 2 |
| #13066939 | 2 |
| C11×#1301 | 2 |
| #10185 | 11 |