Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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. #11762679 | C2 | semidirect |
| 4. #11762572 | C2 | semidirect |
| 5. C17×#336 | C2 | semidirect |
| 89. #336 | D17 | semidirect |
| 108. C17 | #2071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587492 | 2 |
| #11762711 | 2 |
| #11762679 | 2 |
| #11762572 | 2 |
| C17×#336 | 2 |
| #2071 | 17 |