Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
160 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11762587 | C2 | semidirect |
| 4. #11762586 | C2 | semidirect |
| 5. C17×#347 | C2 | semidirect |
| 15. #10587469 | C4 | semidirect |
| 16. C16×D17 | C4 | semidirect |
| 56. #347 | D17 | semidirect |
| 71. C17 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| M32×D17 | 2 |
| #11762766 | 2 |
| #11762587 | 2 |
| #11762586 | 2 |
| C17×#347 | 2 |
| #2110 | 17 |