Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
346 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 346 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 |
|---|---|---|
| 3. #14526644 | C2 | semidirect |
| 4. #14526629 | C2 | semidirect |
| 5. C17×#1838 | C2 | semidirect |
| 76. #1838 | D17 | semidirect |
| 123. C17 | #10634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14529608 | 2 |
| #14527453 | 2 |
| #14526644 | 2 |
| #14526629 | 2 |
| C17×#1838 | 2 |
| #10634 | 17 |