Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
284 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13070755 | C2 | semidirect |
| 3. #13068141 | C2 | semidirect |
| 5. #13066599 | C2 | semidirect |
| 6. #13066587 | C2 | semidirect |
| 238. C11 | #12389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081698 | 2 |
| #13070755 | 2 |
| #13068141 | 2 |
| #13066659 | 2 |
| #13066599 | 2 |
| #13066587 | 2 |
| C11×#2243 | 2 |
| #12389 | 11 |