Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
290 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13066694 | C2 | semidirect |
| 3. C11×#1277 | C2 | semidirect |
| 22. C2×D88 | C8 | semidirect |
| 67. #1277 | D11 | semidirect |
| 191. C11 | #7112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069482 | 2 |
| #13066694 | 2 |
| C11×#1277 | 2 |
| #7112 | 11 |