Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
306 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 306 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 |
|---|---|---|
| 10. C11×#499 | C4 | semidirect |
| 11. C11×#498 | C4 | semidirect |
| 51. #66876 | Q8 | semidirect |
| 53. C2×C11⋊C16 | Q8 | semidirect |
| 118. #499 | Dic11 | semidirect |
| 119. #498 | Dic11 | semidirect |
| 209. C11 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070221 | 2 |
| #13068740 | 2 |
| #13066732 | 2 |
| #13066723 | 2 |
| #13066717 | 2 |
| #13066714 | 2 |
| C11×#3163 | 2 |
| #13291 | 11 |