Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
298 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 298 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 |
|---|---|---|
| 2. #13070663 | C2 | semidirect |
| 4. #13066674 | C2 | semidirect |
| 5. #13066581 | C2 | semidirect |
| 7. C11×#2241 | C2 | semidirect |
| 87. #2241 | D11 | semidirect |
| 106. D44 | Q32 | semidirect |
| 212. C11 | #12346 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081008 | 2 |
| #13070663 | 2 |
| #13067978 | 2 |
| #13066674 | 2 |
| #13066581 | 2 |
| #13066572 | 2 |
| C11×#2241 | 2 |
| #12346 | 11 |