Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 10. #11763207 | C4 | semidirect |
| 11. #11763189 | C4 | semidirect |
| 12. #11763160 | C4 | semidirect |
| 13. #11763160 | C4 | semidirect |
| 214. C17 | #9416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539529 | 2 |
| #14537889 | 2 |
| #14527421 | 2 |
| #14527336 | 2 |
| #14526649 | 2 |
| C17×#1291 | 2 |
| #9416 | 17 |