Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 4. #14527335 | C2 | semidirect |
| 5. #14526649 | C2 | semidirect |
| 6. #14526640 | C2 | semidirect |
| 7. C17×#1986 | C2 | semidirect |
| 9. #11763201 | C4 | semidirect |
| 10. #11763171 | C4 | semidirect |
| 35. C17×C4⋊Q8 | C2×C4 | semidirect |
| 36. C17×C4⋊Q8 | C2×C4 | semidirect |
| 76. #10587474 | C2×C4 | semidirect |
| 176. #1986 | D17 | semidirect |
| 241. C4⋊Q8 | C4×D17 | semidirect |
| 242. C4⋊Q8 | C4×D17 | semidirect |
| 281. C17 | #9379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539783 | 2 |
| #14531597 | 2 |
| #14527381 | 2 |
| #14527335 | 2 |
| #14526649 | 2 |
| #14526640 | 2 |
| C17×#1986 | 2 |
| #9379 | 17 |