Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
308 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 308 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 |
|---|---|---|
| 32. C2×C11×C16 | Q8 | semidirect |
| 134. C2×C16 | Dic22 | semidirect |
| 174. C11 | #13269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077554 | 2 |
| #13070382 | 2 |
| #13066701 | 2 |
| #13066695 | 2 |
| C11×#2110 | 2 |
| #13269 | 11 |