Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
150 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 30. C11×C32 | Q8 | semidirect |
| 31. C11⋊C32 | Q8 | semidirect |
| 97. C32 | Dic22 | semidirect |
| 115. C11 | #13734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070893 | 2 |
| #13070890 | 2 |
| #13066817 | 2 |
| #13066816 | 2 |
| #13066815 | 2 |
| #13066749 | 2 |
| C11×#1424 | 2 |
| #13734 | 11 |