Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
356 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14528924 | C2 | semidirect |
| 3. #14527554 | C2 | semidirect |
| 6. #14526614 | C2 | semidirect |
| 7. C17×#1571 | C2 | semidirect |
| 114. #1571 | D17 | semidirect |
| 182. C17 | #10659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529581 | 2 |
| #14528924 | 2 |
| #14527554 | 2 |
| #14527210 | 2 |
| #14527208 | 2 |
| #14526614 | 2 |
| C17×#1571 | 2 |
| #10659 | 17 |