Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
482 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 187 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. #13070901 | C2 | semidirect |
| 3. #13070900 | C2 | semidirect |
| 36. C2×C11×C16 | Q8 | semidirect |
| 45. C2×C11⋊C16 | Q8 | semidirect |
| 133. C2×C16 | Dic22 | semidirect |
| 170. C11 | #33728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079128 | 2 |
| #13070901 | 2 |
| #13070900 | 2 |
| #13070400 | 2 |
| #13070398 | 2 |
| C2×#10622140 | 2 |
| C11×#2158 | 2 |
| #33728 | 11 |