Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#10587493 | C2 | semidirect |
| 3. #11762808 | C2 | semidirect |
| 4. C2×#10587480 | C2 | semidirect |
| 5. C2×#10587494 | C2 | semidirect |
| 6. #11762777 | C2 | semidirect |
| 7. C17×#343 | C2 | semidirect |
| 116. #343 | D17 | semidirect |
| 141. C17 | #2051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587594 | 2 |
| C2×#10587493 | 2 |
| #11762808 | 2 |
| C2×#10587480 | 2 |
| C2×#10587494 | 2 |
| #11762777 | 2 |
| C17×#343 | 2 |
| #2051 | 17 |