Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
238 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×Dic176 | C2 | semidirect |
| 2. C2×#10622087 | C2 | semidirect |
| 4. #13070877 | C2 | semidirect |
| 5. C4×C11×C32 | C2 | semidirect |
| 49. C4×C32 | D11 | semidirect |
| 109. C11 | #13728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic176 | 2 |
| C2×#10622087 | 2 |
| C2×D352 | 2 |
| #13070877 | 2 |
| C4×C11×C32 | 2 |
| #13728 | 11 |