Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
330 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 161 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. #11762938 | C2 | semidirect |
| 3. #11762937 | C2 | semidirect |
| 4. C8×Dic34 | C2 | semidirect |
| 5. #11762933 | C2 | semidirect |
| 126. C17 | #2986 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763362 | 2 |
| #11762938 | 2 |
| #11762937 | 2 |
| C8×Dic34 | 2 |
| #11762933 | 2 |
| #11762870 | 2 |
| #11762867 | 2 |
| #11762859 | 2 |
| C17×#433 | 2 |
| #2986 | 17 |