Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 59 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. #11762903 | C2 | semidirect |
| 4. #11762636 | C2 | semidirect |
| 5. #11762614 | C2 | semidirect |
| 6. C16×Dic17 | C2 | semidirect |
| 15. #10587498 | C4 | semidirect |
| 34. Dic68 | C2×C4 | semidirect |
| 36. #63214 | C2×C4 | semidirect |
| 63. Dic17 | SD32 | semidirect |
| 87. C17 | C4×SD32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587498 | 2 |
| #11762903 | 2 |
| D8×Dic17 | 2 |
| #11762636 | 2 |
| #11762614 | 2 |
| C16×Dic17 | 2 |
| C17×#357 | 2 |
| C4×SD32 | 17 |