Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
200 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 65 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. Q32×Dic17 | C2 | semidirect |
| 4. #14526983 | C2 | semidirect |
| 6. #14526917 | C2 | semidirect |
| 7. C17×#1416 | C2 | semidirect |
| 11. #11762646 | C4 | semidirect |
| 25. C17×Q32 | C2×C4 | semidirect |
| 36. #10587465 | C2×C4 | semidirect |
| 75. #1416 | D17 | semidirect |
| 110. Q32 | C4×D17 | semidirect |
| 122. C17 | #13652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762646 | 2 |
| Q32×Dic17 | 2 |
| #14530630 | 2 |
| #14526983 | 2 |
| #14526963 | 2 |
| #14526917 | 2 |
| C17×#1416 | 2 |
| #13652 | 17 |