Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
188 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 12. Dic272 | C4 | semidirect |
| 13. #11762649 | C4 | semidirect |
| 15. C17×Q64 | C4 | semidirect |
| 69. Q64 | #595 | semidirect |
| 90. C17 | #13653 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q32×#595 | 2 |
| #14543946 | 2 |
| #14543934 | 2 |
| #14543890 | 2 |
| D17×Q64 | 2 |
| #13653 | 17 |