Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
704 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 209 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. #11763575 | C2 | semidirect |
| 3. #11762793 | C2 | semidirect |
| 4. #11762790 | C2 | semidirect |
| 5. C2×#10587495 | C2 | semidirect |
| 6. #101×D17 | C2 | semidirect |
| 7. C17×#413 | C2 | semidirect |
| 114. #413 | D17 | semidirect |
| 142. C17 | #2889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587697 | 2 |
| #11763575 | 2 |
| #11762793 | 2 |
| #11762790 | 2 |
| C2×#10587495 | 2 |
| #101×D17 | 2 |
| C17×#413 | 2 |
| #2889 | 17 |