Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14534274 | C2 | semidirect |
| 3. #14527821 | C2 | semidirect |
| 4. #14526812 | C2 | semidirect |
| 5. #14526790 | C2 | semidirect |
| 6. #14526715 | C2 | semidirect |
| 7. C17×#1610 | C2 | semidirect |
| 166. #1610 | D17 | semidirect |
| 259. C17 | #12196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534274 | 2 |
| #14529826 | 2 |
| #14527821 | 2 |
| #14526812 | 2 |
| #14526790 | 2 |
| #14526715 | 2 |
| C17×#1610 | 2 |
| #12196 | 17 |