Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1092 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14529625 | C2 | semidirect |
| 3. #14527517 | C2 | semidirect |
| 4. #14527375 | C2 | semidirect |
| 5. #14527224 | C2 | semidirect |
| 6. #14527221 | C2 | semidirect |
| 7. C17×#1965 | C2 | semidirect |
| 21. #11762833 | C22 | semidirect |
| 23. C4×#63223 | C22 | semidirect |
| 32. C17×#423 | C22 | semidirect |
| 34. C4×M16×C17 | C22 | semidirect |
| 227. D68 | #100 | semidirect |
| 237. Dic34 | #100 | semidirect |
| 244. #1965 | D17 | semidirect |
| 292. #423 | C2×D17 | semidirect |
| 296. C4×M16 | C2×D17 | semidirect |
| 375. C17 | #8469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542560 | 2 |
| #14529625 | 2 |
| #14527517 | 2 |
| #14527375 | 2 |
| #14527224 | 2 |
| #14527221 | 2 |
| C17×#1965 | 2 |
| #8469 | 17 |