Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
266 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 266 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 |
|---|---|---|
| 2. #11762832 | C2 | semidirect |
| 3. C2×#10587508 | C2 | semidirect |
| 4. C2×#10587496 | C2 | semidirect |
| 5. #11762791 | C2 | semidirect |
| 6. #11762567 | C2 | semidirect |
| 7. C17×#413 | C2 | semidirect |
| 122. #413 | D17 | semidirect |
| 151. C17 | #2050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763607 | 2 |
| #11762832 | 2 |
| C2×#10587508 | 2 |
| C2×#10587496 | 2 |
| #11762791 | 2 |
| #11762567 | 2 |
| C17×#413 | 2 |
| #2050 | 17 |