Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
150 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 49 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. #11762637 | C2 | semidirect |
| 4. #11762613 | C2 | semidirect |
| 5. C2×C17×Q32 | C2 | semidirect |
| 49. C2×Q32 | D17 | semidirect |
| 66. C17 | #2219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10587469 | 2 |
| #11763047 | 2 |
| #11762637 | 2 |
| #11762613 | 2 |
| C2×C17×Q32 | 2 |
| #2219 | 17 |