Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
200 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 71 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. C4×Dic88 | C2 | semidirect |
| 3. #13066815 | C2 | semidirect |
| 4. #13066796 | C2 | semidirect |
| 6. #13066750 | C2 | semidirect |
| 15. #10622158 | C4 | semidirect |
| 34. Dic88 | C2×C4 | semidirect |
| 36. C11⋊C32 | C2×C4 | semidirect |
| 140. C11 | #13652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622158 | 2 |
| C4×Dic88 | 2 |
| #13066815 | 2 |
| #13066796 | 2 |
| #13066794 | 2 |
| #13066750 | 2 |
| C4×C11×D16 | 2 |
| #13652 | 11 |