Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14527570 | C2 | semidirect |
| 4. #14527569 | C2 | semidirect |
| 6. #14526683 | C2 | semidirect |
| 7. C17×#1302 | C2 | semidirect |
| 164. #1302 | D17 | semidirect |
| 258. C17 | #8864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537812 | 2 |
| #14529582 | 2 |
| #14527570 | 2 |
| #14527569 | 2 |
| #14527104 | 2 |
| #14526683 | 2 |
| C17×#1302 | 2 |
| #8864 | 17 |