Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14530521 | C2 | semidirect |
| 3. #14528830 | C2 | semidirect |
| 4. #14526890 | C2 | semidirect |
| 5. C17×#3407 | C2 | semidirect |
| 8. #11763067 | C4 | semidirect |
| 9. #11763062 | C4 | semidirect |
| 43. C17×M32 | D4 | semidirect |
| 119. #3407 | D17 | semidirect |
| 181. M32 | C22⋊D17 | semidirect |
| 191. C17 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538446 | 2 |
| #14530521 | 2 |
| #14528830 | 2 |
| #14526890 | 2 |
| C17×#3407 | 2 |
| #13077 | 17 |