Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 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 |
|---|---|---|
| 2. #14529760 | C2 | semidirect |
| 4. #14528935 | C2 | semidirect |
| 5. #14527475 | C2 | semidirect |
| 7. C17×#1292 | C2 | semidirect |
| 116. C4×Dic17 | SD16 | semidirect |
| 169. #1292 | D17 | semidirect |
| 259. C17 | #10520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540101 | 2 |
| #14529760 | 2 |
| #14529611 | 2 |
| #14528935 | 2 |
| #14527475 | 2 |
| #14527462 | 2 |
| C17×#1292 | 2 |
| #10520 | 17 |