Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 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. #14527558 | C2 | semidirect |
| 3. #14527554 | C2 | semidirect |
| 6. #14526613 | C2 | semidirect |
| 7. C17×#1832 | C2 | semidirect |
| 109. #1832 | D17 | semidirect |
| 177. C17 | #10665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529616 | 2 |
| #14527558 | 2 |
| #14527554 | 2 |
| #14527182 | 2 |
| #14526613 | 2 |
| C17×#1832 | 2 |
| #10665 | 17 |