Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
934 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 3. #14527826 | C2 | semidirect |
| 5. #14527296 | C2 | semidirect |
| 6. #14527128 | C2 | semidirect |
| 7. C17×#3502 | C2 | semidirect |
| 159. #3502 | D17 | semidirect |
| 262. C17 | #18188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538879 | 2 |
| #14532067 | 2 |
| #14527826 | 2 |
| #14527724 | 2 |
| #14527296 | 2 |
| #14527128 | 2 |
| C17×#3502 | 2 |
| #18188 | 17 |