Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
366 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 13. C16×Dic11 | C4 | semidirect |
| 14. #10622128 | C4 | semidirect |
| 52. C11⋊C16 | C42 | semidirect |
| 98. Dic11 | #367 | semidirect |
| 141. C11 | C4×#367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622128 | 2 |
| C2×C16×Dic11 | 2 |
| #107×Dic11 | 2 |
| #13066708 | 2 |
| C11×#1380 | 2 |
| C4×#367 | 11 |