Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#10587630 | C2 | semidirect |
| 5. #11763018 | C2 | semidirect |
| 6. #11763013 | C2 | semidirect |
| 7. #11762832 | C2 | semidirect |
| 8. #11762817 | C2 | semidirect |
| 9. C17×#419 | C2 | semidirect |
| 117. Dic17 | #137 | semidirect |
| 126. #419 | D17 | semidirect |
| 156. C17 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587595 | 2 |
| C2×#10587628 | 2 |
| C2×#10587630 | 2 |
| #11763277 | 2 |
| #11763018 | 2 |
| #11763013 | 2 |
| #11762832 | 2 |
| #11762817 | 2 |
| C17×#419 | 2 |
| #3039 | 17 |