Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 4. #14529072 | C2 | semidirect |
| 5. #14529003 | C2 | semidirect |
| 6. #14526906 | C2 | semidirect |
| 7. C17×#1395 | C2 | semidirect |
| 168. #1395 | D17 | semidirect |
| 261. C17 | #12963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537842 | 2 |
| #14530423 | 2 |
| #14529200 | 2 |
| #14529072 | 2 |
| #14529003 | 2 |
| #14526906 | 2 |
| C17×#1395 | 2 |
| #12963 | 17 |