Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 37. C17×#101 | Q8 | semidirect |
| 40. #10587507 | Q8 | semidirect |
| 172. #101 | Dic34 | semidirect |
| 178. C17 | #13464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536777 | 2 |
| #14528999 | 2 |
| #14526911 | 2 |
| #14526910 | 2 |
| C17×#1857 | 2 |
| #13464 | 17 |