Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11762827 | C2 | semidirect |
| 3. #11762782 | C2 | semidirect |
| 4. #11762764 | C2 | semidirect |
| 5. C17×#427 | C2 | semidirect |
| 11. C2×Dic68 | C4 | semidirect |
| 16. C2×D136 | C4 | semidirect |
| 17. C2×#63219 | C4 | semidirect |
| 93. #427 | D17 | semidirect |
| 120. C17 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587590 | 2 |
| #11762827 | 2 |
| #11762782 | 2 |
| #11762764 | 2 |
| C17×#427 | 2 |
| #1976 | 17 |