Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
326 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14526954 | C2 | semidirect |
| 5. #11763366 | C4 | semidirect |
| 6. #11763177 | C4 | semidirect |
| 13. C2×#10587474 | C4 | semidirect |
| 180. C17 | #13594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539129 | 2 |
| #14530449 | 2 |
| #14526954 | 2 |
| C17×#2126 | 2 |
| #13594 | 17 |