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 |
| 4. #13066816 | C2 | semidirect |
| 5. #13066798 | C2 | semidirect |
| 7. C11×#1397 | C2 | semidirect |
| 19. #10622087 | C4 | semidirect |
| 32. Dic88 | C2×C4 | semidirect |
| 36. C11×C32 | C2×C4 | semidirect |
| 62. #1397 | D11 | semidirect |
| 117. C32 | C4×D11 | 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×#10622087 | 2 |
| C4×Dic88 | 2 |
| C4×D176 | 2 |
| #13066816 | 2 |
| #13066798 | 2 |
| #13066795 | 2 |
| C11×#1397 | 2 |
| #13652 | 11 |