Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
426 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#10622135 | C2 | semidirect |
| 3. C2×C16×Dic11 | C2 | semidirect |
| 4. #13069502 | C2 | semidirect |
| 5. C2×C11×#368 | C2 | semidirect |
| 13. C2×Dic88 | C4 | semidirect |
| 16. C2×#66864 | C4 | semidirect |
| 17. C2×D176 | C4 | semidirect |
| 84. C2×#368 | D11 | semidirect |
| 206. C11 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622517 | 2 |
| C2×#10622135 | 2 |
| C2×C16×Dic11 | 2 |
| #13069502 | 2 |
| C2×C11×#368 | 2 |
| #13241 | 11 |