Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
656 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 8. C17⋊#564 | C4 | semidirect |
| 179. C17 | #8509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C17⋊#564 | 2 |
| #14529754 | 2 |
| #14529753 | 2 |
| C2×#11762550 | 2 |
| C2×C17×#330 | 2 |
| #8509 | 17 |