Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #14531041 | C2 | semidirect |
| 3. #14531009 | C2 | semidirect |
| 4. #14528391 | C2 | semidirect |
| 5. #14528377 | C2 | semidirect |
| 6. #14526703 | C2 | semidirect |
| 7. C17×#2241 | C2 | semidirect |
| 97. #2241 | D17 | semidirect |
| 158. C17 | #12527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531041 | 2 |
| #14531034 | 2 |
| #14531009 | 2 |
| #14528391 | 2 |
| #14528377 | 2 |
| #14526703 | 2 |
| C17×#2241 | 2 |
| #12527 | 17 |