Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
466 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13081719 | C2 | semidirect |
| 3. #13070343 | C2 | semidirect |
| 4. #13066716 | C2 | semidirect |
| 5. C11×#1813 | C2 | semidirect |
| 53. C2×C11⋊C16 | D4 | semidirect |
| 95. #1813 | D11 | semidirect |
| 229. C11 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081719 | 2 |
| #13078278 | 2 |
| #13070343 | 2 |
| #13066716 | 2 |
| C11×#1813 | 2 |
| #13076 | 11 |