Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
592 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #14540096 | C2 | semidirect |
| 3. #14529712 | C2 | semidirect |
| 4. #14529703 | C2 | semidirect |
| 5. #14527283 | C2 | semidirect |
| 6. #14526635 | C2 | semidirect |
| 7. C17×#3138 | C2 | semidirect |
| 178. #3138 | D17 | semidirect |
| 283. C17 | #10193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540096 | 2 |
| #14539702 | 2 |
| #14529712 | 2 |
| #14529703 | 2 |
| #14527283 | 2 |
| #14526635 | 2 |
| C17×#3138 | 2 |
| #10193 | 17 |