Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C2×#10587506 | C2 | semidirect |
| 5. #11762572 | C2 | semidirect |
| 6. #11762571 | C2 | semidirect |
| 7. C2×C17×#103 | C2 | semidirect |
| 14. #10587632 | C4 | semidirect |
| 32. C2×Q8×C17 | C2×C4 | semidirect |
| 56. C4⋊Dic17 | C2×C4 | semidirect |
| 117. C2×D17 | #103 | semidirect |
| 130. C2×#103 | D17 | semidirect |
| 160. C17 | #1872 | semidirect |
| 167. C2×Q8 | C4×D17 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587632 | 2 |
| C2×C4⋊C4×D17 | 2 |
| C2×#10587506 | 2 |
| C2×#10587491 | 2 |
| #11762572 | 2 |
| #11762571 | 2 |
| C2×C17×#103 | 2 |
| #1872 | 17 |