Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 44. C17×M32 | Q8 | semidirect |
| 50. C17×#106 | Q8 | semidirect |
| 60. #10587483 | Q8 | semidirect |
| 201. M32 | Dic34 | semidirect |
| 217. #106 | Dic34 | semidirect |
| 221. C17 | #13454 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539307 | 2 |
| #14530573 | 2 |
| #14530572 | 2 |
| #14529528 | 2 |
| #14526891 | 2 |
| #14526867 | 2 |
| C17×#1386 | 2 |
| #13454 | 17 |