Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
402 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 161 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. #11762888 | C2 | semidirect |
| 3. #11762879 | C2 | semidirect |
| 4. C8×D68 | C2 | semidirect |
| 5. #11762866 | C2 | semidirect |
| 6. #11762774 | C2 | semidirect |
| 7. C17×#431 | C2 | semidirect |
| 93. #431 | D17 | semidirect |
| 120. C17 | #2981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763359 | 2 |
| #11762888 | 2 |
| #11762879 | 2 |
| C8×D68 | 2 |
| #11762866 | 2 |
| #11762774 | 2 |
| C17×#431 | 2 |
| #2981 | 17 |