Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
316 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 37. C11×M32 | Q8 | semidirect |
| 51. #66876 | Q8 | semidirect |
| 162. M32 | Dic22 | semidirect |
| 214. C11 | #13270 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077548 | 2 |
| #13070381 | 2 |
| #13070220 | 2 |
| #13066702 | 2 |
| #13066697 | 2 |
| C11×#1378 | 2 |
| #13270 | 11 |