Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
612 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 137 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. #11762726 | C2 | semidirect |
| 3. #11762724 | C2 | semidirect |
| 4. #11762724 | C2 | semidirect |
| 5. #11762690 | C2 | semidirect |
| 6. #11762689 | C2 | semidirect |
| 7. #11762688 | C2 | semidirect |
| 8. #11762686 | C2 | semidirect |
| 9. C2×C17×#123 | C2 | semidirect |
| 142. C2×#123 | D17 | semidirect |
| 181. C17 | #2709 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587626 | 2 |
| #11762726 | 2 |
| #11762724 | 2 |
| #11762690 | 2 |
| #11762689 | 2 |
| #11762688 | 2 |
| #11762686 | 2 |
| C2×C17×#123 | 2 |
| #2709 | 17 |