Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
458 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13070336 | C2 | semidirect |
| 5. #13066718 | C2 | semidirect |
| 6. #13066717 | C2 | semidirect |
| 7. C11×#2141 | C2 | semidirect |
| 14. #10622802 | C4 | semidirect |
| 115. #2141 | D11 | semidirect |
| 274. C11 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081718 | 2 |
| #13078267 | 2 |
| #13070336 | 2 |
| #13068659 | 2 |
| #13066718 | 2 |
| #13066717 | 2 |
| C11×#2141 | 2 |
| #13075 | 11 |