Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
574 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14529621 | C2 | semidirect |
| 3. #14529619 | C2 | semidirect |
| 4. #14529212 | C2 | semidirect |
| 5. #14528962 | C2 | semidirect |
| 6. #14526651 | C2 | semidirect |
| 7. C17×#1893 | C2 | semidirect |
| 138. C22⋊Dic17 | D8 | semidirect |
| 225. #1893 | D17 | semidirect |
| 350. C17 | #10564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539532 | 2 |
| #14529621 | 2 |
| #14529619 | 2 |
| #14529212 | 2 |
| #14528962 | 2 |
| #14526651 | 2 |
| C17×#1893 | 2 |
| #10564 | 17 |