Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
318 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 36. C2×C11×C16 | Q8 | semidirect |
| 44. #66881 | Q8 | semidirect |
| 50. C2×C11⋊C16 | Q8 | semidirect |
| 154. C2×C16 | Dic22 | semidirect |
| 203. C11 | #13459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079139 | 2 |
| #13070390 | 2 |
| #13069367 | 2 |
| #13066718 | 2 |
| #13066717 | 2 |
| #13066695 | 2 |
| C11×#2155 | 2 |
| #13459 | 11 |