Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
498 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 498 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. #14538823 | C2 | semidirect |
| 4. #14527186 | C2 | semidirect |
| 6. #14526615 | C2 | semidirect |
| 7. C17×#1985 | C2 | semidirect |
| 172. #1985 | 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 |
|---|---|
| #14539130 | 2 |
| #14538823 | 2 |
| #14538815 | 2 |
| #14527186 | 2 |
| #14527182 | 2 |
| #14526615 | 2 |
| C17×#1985 | 2 |
| #10035 | 17 |