Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13070759 | C2 | semidirect |
| 4. #13068144 | C2 | semidirect |
| 6. #13066587 | C2 | semidirect |
| 7. C11×#1338 | C2 | semidirect |
| 104. #1338 | D11 | semidirect |
| 238. C11 | #12389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081697 | 2 |
| #13070853 | 2 |
| #13070759 | 2 |
| #13068144 | 2 |
| #13066660 | 2 |
| #13066587 | 2 |
| C11×#1338 | 2 |
| #12389 | 11 |