Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
278 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13068739 | C2 | semidirect |
| 4. #13066717 | C2 | semidirect |
| 5. #13066712 | C2 | semidirect |
| 6. #13066704 | C2 | semidirect |
| 227. C11 | #13489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070365 | 2 |
| #13069515 | 2 |
| #13068739 | 2 |
| #13066717 | 2 |
| #13066712 | 2 |
| #13066704 | 2 |
| C11×#2138 | 2 |
| #13489 | 11 |