Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
350 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 85 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. D17×C4⋊C16 | C2 | semidirect |
| 3. #14527546 | C2 | semidirect |
| 4. #14526843 | C2 | semidirect |
| 5. #14526841 | C2 | semidirect |
| 6. #14526830 | C2 | semidirect |
| 7. C17×#1361 | C2 | semidirect |
| 121. #1361 | D17 | semidirect |
| 188. C17 | #11982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539361 | 2 |
| D17×C4⋊C16 | 2 |
| #14527546 | 2 |
| #14526843 | 2 |
| #14526841 | 2 |
| #14526830 | 2 |
| C17×#1361 | 2 |
| #11982 | 17 |