Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11762585 | C4 | semidirect |
| 14. #11762584 | C4 | semidirect |
| 15. C17×#346 | C4 | semidirect |
| 105. #346 | #595 | semidirect |
| 130. C17 | #12890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544721 | 2 |
| #14544720 | 2 |
| #14543842 | 2 |
| D17×#346 | 2 |
| #12890 | 17 |