Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
214 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 69 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. #11762534 | C2 | semidirect |
| 5. C17×#431 | C2 | semidirect |
| 90. #431 | D17 | semidirect |
| 115. C17 | #1473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587562 | 2 |
| #11762866 | 2 |
| #11762534 | 2 |
| #11762532 | 2 |
| C17×#431 | 2 |
| #1473 | 17 |