Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
212 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 4. #13066688 | C2 | semidirect |
| 5. #13066674 | C2 | semidirect |
| 6. #13066671 | C2 | semidirect |
| 7. C11×#2254 | C2 | semidirect |
| 65. C11×C16 | SD16 | semidirect |
| 67. #2254 | D11 | semidirect |
| 167. C16 | #4325 | semidirect |
| 168. C11 | #12456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070449 | 2 |
| #13068012 | 2 |
| #13068002 | 2 |
| #13066688 | 2 |
| #13066674 | 2 |
| #13066671 | 2 |
| C11×#2254 | 2 |
| #12456 | 11 |