Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
234 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14530937 | C2 | semidirect |
| 4. #14527682 | C2 | semidirect |
| 5. #14526841 | C2 | semidirect |
| 7. C17×#1370 | C2 | semidirect |
| 97. #1370 | D17 | semidirect |
| 153. C17 | #12486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530937 | 2 |
| #14530825 | 2 |
| #14528376 | 2 |
| #14527682 | 2 |
| #14526841 | 2 |
| #14526831 | 2 |
| C17×#1370 | 2 |
| #12486 | 17 |