Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
498 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #14529725 | C2 | semidirect |
| 4. #14527187 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#3104 | C2 | semidirect |
| 170. #3104 | D17 | semidirect |
| 274. C17 | #10035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539132 | 2 |
| #14538815 | 2 |
| #14529725 | 2 |
| #14527187 | 2 |
| #14527184 | 2 |
| #14526614 | 2 |
| C17×#3104 | 2 |
| #10035 | 17 |