Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1312 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 1312 conjugacy classes of subgroups — too many to draw. Only its 311 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 |
|---|---|---|
| 1. #13077095 | C2 | semidirect |
| 2. #13070308 | C2 | semidirect |
| 3. #13070301 | C2 | semidirect |
| 15. #10622850 | C22 | semidirect |
| 17. #10622186 | C22 | semidirect |
| 18. #10622180 | C22 | semidirect |
| 230. C11 | #33373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077095 | 2 |
| #13070308 | 2 |
| #13070301 | 2 |
| C11×#3498 | 2 |
| #33373 | 11 |