Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
376 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. #11763113 | C2 | semidirect |
| 3. #11763101 | C2 | semidirect |
| 4. #11763091 | C2 | semidirect |
| 42. C2×Dic34 | Q8 | semidirect |
| 139. C17 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic34 | 2 |
| #11763113 | 2 |
| #11763101 | 2 |
| #11763091 | 2 |
| #11762852 | 2 |
| #11762833 | 2 |
| #11762817 | 2 |
| C17×#533 | 2 |
| #3078 | 17 |