Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 13. #11763728 | C4 | semidirect |
| 14. #11763722 | C4 | semidirect |
| 20. #11762917 | C4 | semidirect |
| 21. #11762916 | C4 | semidirect |
| 22. #11762915 | C4 | semidirect |
| 28. C17×#441 | C4 | semidirect |
| 186. #441 | #595 | semidirect |
| 247. C17 | #12648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#362 | 2 |
| #14545094 | 2 |
| #14545001 | 2 |
| #14544590 | 2 |
| #14543857 | 2 |
| #14543848 | 2 |
| D17×#441 | 2 |
| #12648 | 17 |