Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
242 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 8. C11×C4⋊C16 | C4 | semidirect |
| 13. #10622096 | C4 | semidirect |
| 81. C4⋊C16 | Dic11 | semidirect |
| 144. C11 | #7296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66882 | 2 |
| #13067375 | 2 |
| C11×#2162 | 2 |
| #7296 | 11 |