Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11762863 | C2 | semidirect |
| 3. #11762859 | C2 | semidirect |
| 4. #11762535 | C2 | semidirect |
| 7. C17×#324 | C2 | semidirect |
| 105. #324 | D17 | semidirect |
| 133. C17 | #1473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587584 | 2 |
| #11762863 | 2 |
| #11762859 | 2 |
| #11762535 | 2 |
| #11762532 | 2 |
| C17×#324 | 2 |
| #1473 | 17 |