Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
366 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14540589 | C2 | semidirect |
| 2. #14530857 | C2 | semidirect |
| 3. #14528389 | C2 | semidirect |
| 4. #14526822 | C2 | semidirect |
| 5. #14526757 | C2 | semidirect |
| 6. #14526756 | C2 | semidirect |
| 7. C17×#2213 | C2 | semidirect |
| 130. #2213 | D17 | semidirect |
| 201. C17 | #12311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540589 | 2 |
| #14530857 | 2 |
| #14528389 | 2 |
| #14526822 | 2 |
| #14526757 | 2 |
| #14526756 | 2 |
| C17×#2213 | 2 |
| #12311 | 17 |