Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14530327 | C2 | semidirect |
| 3. #14530194 | C2 | semidirect |
| 5. #14526609 | C2 | semidirect |
| 7. C17×#1272 | C2 | semidirect |
| 164. #1272 | D17 | semidirect |
| 250. C17 | #7804 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536728 | 2 |
| #14530327 | 2 |
| #14530194 | 2 |
| #14530189 | 2 |
| #14526609 | 2 |
| #14526604 | 2 |
| C17×#1272 | 2 |
| #7804 | 17 |