Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
960 conjugacy classes of subgroups; only the 247 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 247 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×#10622737 | C2 | semidirect |
| 3. #13070018 | C2 | semidirect |
| 4. #13070015 | C2 | semidirect |
| 5. C2×C11×#338 | C2 | semidirect |
| 85. C2×#338 | D11 | semidirect |
| 205. C11 | #23622 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622737 | 2 |
| C2×#10622745 | 2 |
| #13070018 | 2 |
| #13070015 | 2 |
| C2×C11×#338 | 2 |
| #23622 | 11 |