Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
246 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11762866 | C2 | semidirect |
| 3. #11762554 | C2 | semidirect |
| 4. #11762552 | C2 | semidirect |
| 5. C17×#423 | C2 | semidirect |
| 82. #423 | D17 | semidirect |
| 105. C17 | #1557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763359 | 2 |
| #11762866 | 2 |
| #11762554 | 2 |
| #11762552 | 2 |
| C17×#423 | 2 |
| #1557 | 17 |