Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
530 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14531597 | C2 | semidirect |
| 3. #14527381 | C2 | semidirect |
| 4. #14527331 | C2 | semidirect |
| 5. #14526649 | C2 | semidirect |
| 6. #14526640 | C2 | semidirect |
| 7. C17×#1980 | C2 | semidirect |
| 9. #11763196 | C4 | semidirect |
| 10. #11763171 | C4 | semidirect |
| 36. C17×C4⋊Q8 | C2×C4 | semidirect |
| 37. C17×#127 | C2×C4 | semidirect |
| 78. #10587474 | C2×C4 | semidirect |
| 190. #1980 | D17 | semidirect |
| 259. C4⋊Q8 | C4×D17 | semidirect |
| 260. #127 | C4×D17 | semidirect |
| 300. C17 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539767 | 2 |
| #14531597 | 2 |
| #14527381 | 2 |
| #14527331 | 2 |
| #14526649 | 2 |
| #14526640 | 2 |
| C17×#1980 | 2 |
| #9381 | 17 |