Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1290 conjugacy classes of subgroups; only the 327 normal subgroups are shown.
This group has 1290 conjugacy classes of subgroups — too many to draw. Only its 327 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 |
|---|---|---|
| 1. #14527046 | C2 | semidirect |
| 4. #14527016 | C2 | semidirect |
| 15. C17×#399 | C4 | semidirect |
| 134. #399 | Dic17 | semidirect |
| 167. C17 | #14618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14527046 | 2 |
| #14527033 | 2 |
| #14527021 | 2 |
| #14527016 | 2 |
| C2×C17×#399 | 2 |
| #14618 | 17 |