Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
310 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 131 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. C16×Dic17 | C4 | semidirect |
| 120. C17 | #12889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C16×Dic17 | 2 |
| #14528947 | 2 |
| #14526876 | 2 |
| #14526875 | 2 |
| C17×#1380 | 2 |
| #12889 | 17 |