Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
258 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13067392 | C2 | semidirect |
| 5. #13066485 | C2 | semidirect |
| 6. #13066477 | C2 | semidirect |
| 7. C11×#1307 | C2 | semidirect |
| 79. #1307 | D11 | semidirect |
| 194. C11 | #10645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13067392 | 2 |
| #13067336 | 2 |
| #13067312 | 2 |
| #13067084 | 2 |
| #13066485 | 2 |
| #13066477 | 2 |
| C11×#1307 | 2 |
| #10645 | 11 |