Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
310 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 39. C2×C16×C17 | Q8 | semidirect |
| 47. #10587490 | Q8 | semidirect |
| 53. #10587483 | Q8 | semidirect |
| 167. C2×C16 | Dic34 | semidirect |
| 182. C17 | #13460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539316 | 2 |
| C2×#11762633 | 2 |
| #14529572 | 2 |
| #14526900 | 2 |
| #14526883 | 2 |
| #14526869 | 2 |
| C17×#2155 | 2 |
| #13460 | 17 |