Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 306 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 |
|---|---|---|
| 11. #11763209 | C4 | semidirect |
| 12. #11763206 | C4 | semidirect |
| 37. C2×C16×C17 | Q8 | semidirect |
| 50. #10587483 | Q8 | semidirect |
| 163. C2×C16 | Dic34 | semidirect |
| 177. C17 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539316 | 2 |
| #14530388 | 2 |
| #14528907 | 2 |
| #14526900 | 2 |
| #14526889 | 2 |
| #14526883 | 2 |
| C17×#1384 | 2 |
| #13291 | 17 |